Publications
J. D\'avila, M. del Pino, J. Dolbeault, M. Musso, J. Wei. Infinite time blow-up in the Patlak-Keller-Segel system: existence and stability. To appear in Archive for Rational Mechanics and PDEs.
J. Davila, M. del Pino, M. Musso, J. Wei. Leapfrogging vortex rings for the 3-dimensional incompressible Euler equations. To appear in Communications in Pure and Applied Mathematics, CPAM.
I. Guerra, M. Musso. Cluster of vortex helices in the incompressible 3d Euler equations. To appear in Annales Institute Heri Poincare', An. Non Lineaire.
S. Kim, M. Musso Infinite-time blowing-up solutions to small perturbations of the Yamabe flow. Advances in Mathematics 443 (2024), Paper No. 109611, 77 pp .
J. Davila, M. del Pino, M. Musso, S. Parmeshwar. Asymptotic properties of vortex-pair solutions for incompressible Euler equations in R^2. JDE 408 (2024), 33–63.
M. Musso, S. Rocci, G. Vaira. Nodal cluster solutions for the Brezis-Nirenberg problem in dimensions N>= 7. Calculus of Variations and PDEs, 63 (2024), no. 5, Paper No. 119, 32 pp.
L. Duan, M. Musso, S. Wei, Doubling the equatorial for the prescribed scalar curvature problem on S^N. NoDEA Nonlinear Differential Equations Appl. 30 (2023), no. 3, Paper No. 40, 46 pp.
M. Musso Bubbling blow-up in critical elliptic and parabolic problems. Notices Amer. Math. Soc. 69 (2022), no. 10, 1700–1706.
L. Duan, M. Musso New type of solutions for the Nonlinear Schr\"odinger Equation in $\mathbb{R}^N$. J. Differential Equations 336 (2022), 479–504.
Y. Guo, M. Musso, S. Peng, S. Yan. Non-degeneracy and existence of new solutions for the Schrödinger equations. J. Differential Equations 326 (2022), 254–279.
P. Caldiroli, A. Iacopetti, M. Musso. On the non-existence of compact surfaces of genus one with prescribed, almost constant mean curvature, close to the singular limit. Advances in Differential Equations, 27 (2022), no. 3-4, 193–252.
J. D\'avila, M. del Pino, M. Musso, J. Wei Travelling helices and the vortex filament conjecture in the incompressible Euler equations. Calculus of Variations and PDEs, 61 (2022), no. 4, Paper No. 119, 30 pp.
W. Ao, J. Davila, M. del Pino, M. Musso, J. Wei Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation. Transactions of the American Mathematical Society, 374 (2021), no. 9, 6665–6689.
S. Kim, M. Musso, J. Wei, Compactness of scalar-flat conformal metrics on low-dimensional manifolds with constant mean curvature on boundary. Annales Institute Heri Poincar\'e, An. Non Lineaire 38 (2021), no. 6, 1763–1793.
M. Medina, M. Musso, Doubling Nodal Solutions to the Yamabe Equation in $R^n$ with maximal rank. J. Mathematique Pure at Appliq. (9) 152 (2021), 145–188.
M. del Pino, M. Musso, J. Wei, Existence and stability of infinite time bubble towers in the energy critical heat equation. Analysis and PDEs 14 (2021), no. 5, 1557–1598.
S. Kim, M. Musso, J. Wei, A compactness theorem of the fractional Yamabe problem, Part I: The non-umbilic conformal infinity. JEMS 23 (2021), no. 9, 3017–3073.
M. del Pino, M. Musso, J. Wei. Geometry driven Type II higher dimensional blow-up for the critical heat equation. J. Funct. Anal. 280 (2021), no. 1, 108788, 49 pp.
S. Deng, M. Musso. High energy sign-changing solutions for Coron's problem. J. Differential Equations 271 (2021), 916--962.
M. del Pino, M. Musso, J. Wei, Y. Zheng, Sign-changing blowing-up solutions for the critical nonlinear heat equation. Annali della Scuola Normale di Pisa, (5) 21 (2020), 569–641.
M. Musso, J. Pimentel. A semilinear elliptic equation with competing powers and a radial potential. Journal de Analyse Mathematique 140, (2020) 283--298.
Y. Guo, M. Musso, S. Peng, S. Yan, Non-degeneracy of multi-bubbling solutions for the prescribed scalar curvature equations and applications. Journal of Functional Analysis, Volume 279, Issue 6, 1 (2020), DOI 108553, 1--29.
J. D\avila, M. del Pino, M. Musso, J. Wei. Gluing methods for vortex dynamics in Euler flows. Archive for Rational Mechanics and Analysis (2020) 235(3), 1467-1530.
M. del Pino, R. Jerrard, M. Musso, Interface dyamics in semilinear wave equations. Communications in Mathematical Physics 373 (2020), no. 3, 971--1009.
M. del Pino, M. Musso, J. Wei. Infinite time blow-up for the 3-dimensional energy critical heat equation. Analysis and PDEs,13-1 (2020), 215--274. DOI 10.2140/apde.2020.13.21.
C. Cortazar, M. del Pino, M. Musso. Green's function and infinite-time bubbling in the critical nonlinear heat equation. J. Eur. Math. Soc. (JEMS) 22 (2020), no. 1, 283--344.
M. Musso, Y. Sire, J. Wei, Y. Zheng, Y. Zhou. Infinite time blow-up for the fractional heat equation with critical exponent. Math. Annalen 375 (2019), no. 1--2, 361--424.
W. Ao, M. Musso, J. Wei, Nondegeneracy of nonradial sign-changing solutions to the nonlinear Schr\"odinger equations. Bulletin de la SMF 147(1) 2019, 1--49.
S. Deng, M. Musso, J. Wei New type of sign-changing blow-up solutions for scalar curvature type equations. International Mathematical Research Notices IMRN, no. 13 (2019), 4159--4197.
M. del Pino, M. Musso, J. Wei, Type II blow -up in the 5-dimensional energy critical heat equation. Acta Math. Sin. (Engl. Ser.) 35 (2019), no. 6, 1027--1042.
M. del Pino, M. Musso, C. Roman, J. Wei. Critical interior bubbling for the Lin-Ni-Takagi problem in dimension 3. Journal de Analyse Mathematique, 137 (2019), no. 2, 813--843.
S. Deng, F. Mahmoudi, M. Musso. Concentration at submanifolds for an elliptic Dirichlet problem near high critical exponents. Proceedings of the London Mathematical Society (3) 118 (2019), no. 2, 379--415.
M. Medina, M. Musso, J. Wei. Desingularization of Clifford Torus and Nonradial Solutions to Yamabe Problem with Maximal Rank. Journal of Functional Analysis, 276 (2019), no. 8, 2470--2523.
S. Deng, M. Musso, New solutions for critical Neumann problems in $\RR^2$. Advances in Nonlinear Analysis. 8 (2019), no. 1, 615--644.
P. Caldiroli, M. Musso. Embedded tori with prescribed mean curvature. Advances in Mathematics 208 (2018), 405--458.
P. Figueroa, M. Musso. Bubbling solutions for Moser-Trudinger type equations on compact Riemann surfaces. Journal of Functional Analysis, 275 (2018), no. 10, 2684 -- 2739.
M. Musso, D. Salazar. Multispike solutions for the Brezis-Nirenberg problem in dimension three. Journal of Differential Equations 264 (2018), no. 11, 6663--6709.
S. Kim, M. Musso, J. Wei. Existence theorems of the fractional Yamabe problem. Analysis and PDEs, 11 (2018), no. 1, 75--113.
S. Kim, M. Musso, J. Wei. A non-compactness result on the fractional Yamabe problem in large dimensions. Journal of Functional Analysis, 273 (2017), no. 12, 3759--3830.
M. Musso, Sign-changing blowing-up solutions for a non homogeneous elliptic equation at the critical exponent. Journal of Fixed Point Theory and Applications, 19 (2017), no. 1, 345--361.
S. Deng, M. Musso, A. Pistoia, Concentration on minimal submanifolds for a Yamabe type problem. Communications in Partial Differential Equations, 41 (2016), no. 9, 1379--1425.
D. Garrido, M. Musso, Entire Sign Changing Solutions with Finite Energy to the Fractional Yamabe Equation. Pacific Journal of Mathematics 283-1 (2016), 85--114.
M. Musso, J. Wei, S. Yan, Infinitely many positive solutions for an nonlinear field equation with super-critical growth. Proceedings of the London Mathematical Society (3) 112 (2016), no. 1, 1 -- 26.
M. Musso, A. Pistoia, J. Wei. New blow-up phenomena for $SU(n+1)$ Toda system. Journal of Differential Equations, 260 (2016), 6232--6266.
I. Ianni, M. Musso, A. Pistoia, Blow-up for sign-changing solutions of the critical heat equation in domains with a small hole. Communications in Contemporary Mathematics, 18, no. 1 (2016), 1550017, 18 pp.
M. Musso, J. Wei, Sign-changing blowing-up solutions for supercritical Bahri-Coron's problem. Calculus of Variations and PDEs, Volume 55. Issue 1 (2016), 1--39.
S.B. Deng, F. Mahmoudi, M. Musso, Bubbling on boundary submanifolds in a semilinear Neumann problem near higher critical exponents. Discrete and Continuous Dynamical Systems, Volume 36, Number 6 (2016) 3035--3076.
W. Ao, M. Musso, F. Pacard, J. Wei. Solutions without any symmetry for semilinear elliptic problems. Journal of Functional Analysis, Volume 270, Issue 3 (2016), 884--956.
S.B. Deng, M. Musso, Multiple blow-up solutions for an anisotropic $2$ dimensional nonlinear Neumann problem. Mathematische Zeitschrift: Volume 281, Issue 3 (2015), Page 849--875.
M. Musso, J. Wei, Nondegeneracy of Nonradial Nodal Solutions to Yamabe Problem. Communications in Mathematical Physics 340, Issue 3, (2015), 1049--1107.
S. Deng, M. Musso, Multiple blow-up solutions for an elliptic equation with Henon term in $\RR^2$. Nonlinear Analysis 129 (2015), 320--342.
M. del Pino, P. Esposito, P. Figueroa, M. Musso. Non-topological condensates for the self-dual Chern-Simons-Higgs model. Communications in Pure and Applied Mathematics 68, Issue 7 (2015), 1191 -- 1283.
S.B. Deng, M. Musso, Multiple blow-up solutions for an anisotropic Emden Fowler equation in $\mathbb{R}^2$. Nonlinearity 28 (2015) 1761--1781.
S.B. Deng, D. Garrido, M. Musso, Multiple blow-up solutions for an exponential nonlinearity with potential in $\mathbb{R}^2$. Nonlinear Analysis, Nonlinear Anal. 119 (2015), 419 -- 442.
S. Deng, M. Musso Critical points of the Trudinger-Moser trace functional with high energy levels. Ann. Inst. H. Poincar\'e Anal. Non Lineaire 32 (2015), no. 1, 59 -- 95.
S. Deng, M. Musso. Bubbling solutions for an exponential nonlinearity in $\RR^2$. Annali della Scuola Normale Superiore di Pisa, 5 (2014), no. XIII, 699--744.
M. del Pino, F. Mahmoudi, M. Musso. Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents. Journal of the European Mathematical Society, 16 (2014), no. 8, 1687 -- 1748.
S. Deng, M. Musso. Bubbling solutions for an exponential nonlinearity in $\mathbb{R}^2$. Journal of Differential Equations, 257 (2014), no. 7, 2259 - 2302.
M. Musso, J. Yang. Curve like concentration layers for a singularly perturbed nonlinea problem with critical exponents. Comm. Partial Differential Equations 39 (2014), no. 6, 1048 -- 1103.
M. del Pino, M. Musso, F. Pacard. A. Pistoia. Torus action on $S^n$ and sign changing solutions for conformally invariant equations. Annali della Scuola Normale Superiore di Pisa, Cl. Sci. (5) 12 (2013), no. 1, 209-237.
Y. Ge, M. Musso, A. Pistoia, D. Pollack. A refined result on sign changing solutions for a critical elliptic problem. Commun. Pure Appl. Anal. 12 (2013), no. 1, 125-155.
M. Musso, F. Pacard, J. Wei. Finite-energy sign-changing solutions with dihedral symmetry for the stationary non linear Schrodinger equation. Journal of the European Mathematical Society (JEMS) 14 (2012), no. 6, 1923-1953.
M. Musso, J. Wei. Nonradial solutions to critical elliptic equations of Caffarelli-Kohn-Nirenberg type. IMRN (2012), no. 18, 4120-4162.
M. del Pino, M. Musso, F. Pacard. Solutions of the Allen-Cahn equation invariant under screw-motion. Manuscripta Mathematica 138 (2012), no. 3-4, 273--286.
M. del Pino, M. Musso, B. Ruf. Beyond the Trudinger-Moser Supremum. Calculus of Variations and PDE, 44 (2012), no. 3-4, 543�-576.
M. del Pino, P. Esposito, M. Musso. Nondegeneracy of entire solutions of a singular Liouville equation. Proceedings of the AMS 140 (2012), no. 2, 581--588.
W. Ao, M. Musso, J. Wei. Triple Junction Solutions for a Singularly Perturbed Neumann Problem. SIAM J. Math. Anal. 43 (2011), no. 6, 2519-2541.
W. Ao, M. Musso, J. Wei. On spikes concentrating on line-segments to a semilinear Neumann problem. Journal of Differential Equations 251, (2011), no. 4-5, 881--901.
M. del Pino, M. Musso, F. Pacard, A. Pistoia. Large Energy Entire Solutions for the Yamabe Equation. Journal of Differential Equations, 251, (2011), no. 9, 2568--2597.
J. Davila, M. del Pino, M. Musso. Bistable boundary reactions in two dimensions. Archive for Rational Mechanics and Analysis 200 (2011), no. 1, 89--140.
M. Musso, A.Pistoia. Tower of Bubbles for almost critical problems in general domains. Journal de Mathïematiques Pures et Appliquees (9) 93 (2010), 1-30.
Y. Ge, M. Musso, A. Pistoia. Sign changing tower of bubbles for an elliptic problem at the critical exponent in pierced non-symmetric domains. Communications in Partial Differential Equations, 35 (2010), n. 8, 1419-1457.
M. del Pino, P. Esposito, M. Musso. Two-dimensional Euler flows with concentrated vorticities. Transaction of the American Mathematical Society 362 (2010), No. 12, 6381--6395.
M. del Pino, M. Musso, F. Pacard. Bubbling along geodesics for some semilinear supercritical elliptic problem in bounded domains. Journal of the European Mathematical Society 12 (2010), vol. 6, 1553-1605.
M. del Pino, M. Musso, B. Ruf. New solutions for Trudinger-Moser critical equations in $\RR^2$. Journal of Functional Analysis 258 No 2 (2010) 421--457.
M. Clapp, M. Musso, A. Pistoia. Multipeak solutions to the pure critical exponent problem in punctured domains. Journal of Functional Analysis, 256 (2009), no. 2, 275--306.
M. Musso, A. Pistoia. Sign changing solutions to a Bahri-Coron's problem in pierced domains. Discrete Continous Dynamical Systems 21 (2008), no. 1, 295--306.
M. Clapp, M. Monica, C. Munoz. Singular limits for the Bi-Laplacian operator with exponential nonlinearity in $\RR^4$. Annales Institute HenriPoincare, Nonlinear Analysis, 25 (2008), no. 5, 1015--1041.
J. Davila, M. Manuel del Pino, M. Musso, J. Wei. Fast and slow decay solutions for supercritical elliptic problems in exterior domains. Calculus of Variations and PDE 32 (2008), no. 4, 453-480.
P. Esposito, M. Musso, A. Pistoia. On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity. Proceedings of the London Mathematical Society (3) 94 (2007), no. 2, 497--519.
J. Davila, M. del Pino, M. Musso, J. Wei. Standing waves for supercritical nonlinear Schrodinger equations. Journal of Differential Equations 236 (2007), no. 1, 164--198.
M. Musso, J. Pejsachowicz, A. Portaluri. Morse index and bifurcation of $p$-geodesics on semi Riemannian manifolds. ESAIM Control Optim. Calc. Var. 13 (2007), no. 3, 598--621.
M. Musso, A. Pistoia. Persistence of Coron's solution in nearly critical problems. Annali Scuola Normale Superiore Pisa Classe di Scienze (5) 6 (2007), no. 2, 331--357.
J. Davila, M. del Pino, M. Musso. The supercritical Lane-Emden-Fowler equation in exterior domains. Communications Partial Differential Equations 32 (2007), no. 7-9, 1225--1243.
M. del Pino, M. Musso, F. Pacard. Boundary singularities for weak solutions of semilinear elliptic problems. Journal of Functional Analysis 253 (2007), no. 1, 241--272.
M. del Pino, J. Dolbeault, M. Musso. Multiple bubbling for the exponential nonlinearity in the slightly supercritical case. Commununications in Pure Applied Analysis 5 (2006), no. 3, 463--482.
P. Esposito, M. Musso, A. Pistoia. Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent. Journal of Differential Equations 227 (2006), no. 1, 29--68.
M. del Pino, M. Kowalczyk, M. Musso. Variational reduction for Ginzburg-Landau vortices. Journal Functional Analysis 239 (2006), no. 2, 497--541.
J. Davila, M. del Pino, M. Musso, J. Wei. Singular limits of a two-dimensional boundary value problem arising in corrosion modelling. Archive for Rational Mechanics and Analysis 182 (2006), no. 2, 181--221.
M. Musso, J. Wei. Stationary solutions to a Keller-Segel chemotaxis system. Asymptotic Analysis 49 (2006), no. 3-4, 217--247.
M. Musso, A. Pistoia. Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains. Journal de Mathematiques Pures et Appliques (9) 86 (2006), no. 6, 510--528.
M. del Pino, M. Musso, A. Pistoia. Super-Critical boundary bubbling in a semilinear Neumann problem. Ann. Inst. H. Poincar\'e, Anal. Non Linaire 22 (2005), no. 1, 45--82.
A.M. Micheletti, M. Musso, A. Pistoia. Super-position of spikes for a slightly super-critical elliptic equation in $\RR^N$. Discrete and Continuous Dynamical Systems 12 (2005), no. 4, 747--760.
M. Musso, J. Pejsachowicz, A. Portaluri. A Morse Index Theorem and bifurcation for perturbed geodesics on Semi-Riemannian manifolds. Topological Methods in Nonlinear Analysis 25 no. 1 (2005) 69--99.
M. del Pino, M. Kowalczyk, M. Musso. Singular limits in Liouville-type equations. Calculus of Variations and PDE 24 (2005), no. 1, 47--81.
J. Davila, M. del Pino, M. Musso. Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data. Journalof Functional Analysis 227 (2005), no. 2, 430--490.
M. Cl\'app, M. del Pino, M.Musso. Sign changing solutions for a nonhomogeneous elliptic equation at the critical exponent.Proceedings of the Royal Society Edinburgh Sect. A 134 (2004), no. 1, 69--87.
M. del Pino, J. Dolbeault, M. Musso. A phase plane analysis of the ``Multi-bubbling'' phenomenon in some slightly supercritical equations. Monatsh. Math. 142 (2004), no. 1-2, 57--79.
M. del Pino, J. Dolbeault, M.Musso. Duality in the sub and super critical bubbling in the Brezis-Nirenberg problem for dimension 3. Journal de Mathematiques Pures et Appliquies 83 (2004), no. 12, 1405--1456.
M. del Pino, J. Dolbeault, M. Musso, Duality in Sub-Supercritical bubbling in the Brezis-Nirenberg problem near the critical exponent. Contemporary Mathematics 362 (2004), 339--350.
M. del Pino, P. Felmer, M. Musso. Multi-Bubble solutions for slightly super-critical problems in domains with simmetry. Bullettin of the London Mathematical Society 35, no. 4 (2003), 513--521.
M. del Pino, J. Garcia-Melian, M. Musso. Local bifurcation at the second eigenvalue of the Laplacian in a square. Proceeding of the American Mathematical Society 131, no. 11 (2003), 3499--3505.
M. del Pino, J. Dolbeault, M.Musso. ``Bubble-tower'' radial solutions in the slightly supercritical Brezis-Nirenberg problem. Journal of Differential Equations 193, no. 2 (2003), 280--306.
M. Musso, A. Pistoia. Double blow-up solutions for a Brezis-Nirenberg type problem. Communications in Contemporary Mathematics 5, no. 5 (2003), 1--28.
M. del Pino, P. Felmer, M. Musso. Two-bubble solutions in the super-critical Bahri-Coron's problem. Calculus of Variations and PDE 16, no. 2 (2003), 113--145.
M. del Pino, P. Felmer, M. Musso. Multi-peak solutions for super-critical elliptic problems in domains with small holes. Journal of Differential Equations 182 (2002), 511--540.
M. Musso, A. Pistoia. Multispike solutions for a nonlinear elliptic problem involving critical Sobolev exponent. Indiana University Mathematical Journal 51, no. 3 (2002),541--579.
M. Musso. New nonlinear equations with soliton-like solutions. Letters in Mathematical Physics 57 (2001), no. 2, 161--173.
M. Musso, D. Passaseo. Some nonlinear elliptic equations in $\RR^{N}$. Journal of Nonlinear Analysis, Ser. A: Theory Methods, vol. 39, No. 7 (2000), 837--860.
R. Molle, M. Musso, D. Passaseo. Asymptotic behaviour and multiplicity of solutions for a class of nonlinear elliptic problems in $\RR^{N}$. Proceedings of the Royal Society of Edinburgh Sect. A 130 (2000), no. 1, 141--166.
M. Musso, D. Passaseo. Multiple solutions of Neumann elliptic problems with critical nonlinearity. Discrete and Continuous Dynamical Systems, vol. 5, No. 2 (1999), 301--320.
M. Musso, D. Passaseo. Nontrivial solutions of some nonlinear elliptic problems. Communication in Partial Differential Equations 24, No. 9-10 (1999), 1655--1708.
M. Musso, D. Passaseo. Multibumps solutions for a class of nonlinear elliptic problems. Calculus of Variations and PDE, vol. 7, No. 1 (1998), 53--86.
M. Musso. Existence and multiplicity of solutions for nonlinear elliptic equations. Boll. Unione Mat. Ital. Sez. A Mat. Soc. Cult., vol. 8, No. 1 (1998), 141--144.
M. Musso, D. Passaseo. On the number of positive solutions of some nonlinear elliptic problems. Houston Journal of Mathematics, vol. 23, No. 4 (1997), 685--708.
M. Musso, D. Passaseo. Nonlinear elliptic problems approximating degenerate equations. Nonlinear Analysis, Theory, Methods and Applications, vol. 30, No. 8 (1997), 5071--5076.
M. Musso, D. Passaseo. Sign changing solutions of nonlinear elliptic equations. Advances in Differential Equations, vol.1 (1996), 1025--1052.
M. Musso, D. Passaseo. Positive solutions of nonlinear elliptic problems approximating degenerate equations. Topological Methods in Nonlinear Analysis, vol 6 (1995), 371-397.
Book Chapters and Other Publications
M. del Pino, M. Musso. Bubbling in Nonlinear Elliptic Problems Near Criticality. Handbook of Differential Equations, Stationary Partial Differential Equations, Vol. 3 (2006), 215--316.
M. del Pino, M. Musso. Bubbling and criticality in two and higher dimensions. Recent advances in elliptic and parabolic problems, 41--59, World Sci. Publ., Hackensack, NJ, 2005.
M. del Pino, M. Musso. Super-critical bubbling in elliptic boundary value problems, Variational problems and related topics, Kyoto 2002, RIMS Kokyuroku no. 1307 (2003), 85--109.
M. del Pino, P. Felmer, M. Musso. Spike patterns in the super-critical Bahri-Coron's problem. Variational and topological methods in the study of nonlinear phenomena (Pisa, 2000), Progr. Nonlinear Differential Equations Appl., 49, Birkhauser Boston, Boston, MA, (2002), 89--103.