Publications
A. Jevnikar, An existence result for the mean-field equation on compact surfaces in a doubly supercritical regime, Proc. Royal Soc. Edinburgh A 143 (2013), no. 5, 1021-1045 (pdf) (proof of Lemma 3.9. has been fixed here).
L. Battaglia, A. Jevnikar, A. Malchiodi, D. Ruiz, A general existence result for the Toda system on compact surfaces, Adv. Math. 285 (2015), 937-979 (pdf).
A. Jevnikar, S. Kallel, A. Malchiodi, A topological join construction and the Toda system on compact surfaces of arbitrary genus, Anal. PDE 8 (2015), no. 8, 1963-2027 (pdf).
A. Jevnikar, New existence results for the mean field equation on compact surfaces via degree theory, Rend. Semin. Mat. Univ. Padova 136 (2016), 11-17 (pdf).
A. Jevnikar, A note on a multiplicity result for the mean field equation on compact surfaces, Adv. Nonlinear Stud. 16 (2016), no. 2, 221-229 (pdf).
A. Jevnikar, W. Yang, Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results, Calc. Var. and PDEs 56 (2017), no. 2, 56:43 (pdf).
A. Jevnikar, Blow-up analysis and existence results in the supercritical case for an asymmetric mean field equation with variable intensities, J. Diff. Eq. 263 (2017), no. 2, 972-1008 (pdf).
A. Jevnikar, J. Wei, W. Yang, Classification of blow-up limits for Sinh-Gordon equation, Differential and Integral Equations 31 (2018), no. 9-10, 657-684 (pdf).
A. Jevnikar, J. Wei, W. Yang, On the Topological degree of the mean field equation with two parameters, Indiana Univ. Math. J. 67 (2018), no. 1, 29-88 (pdf).
C. Gui, A. Jevnikar, A. Moradifam, Symmetry and uniqueness of solutions to some Liouville-type problems: asymmetric sinh-Gordon equation, cosmic string equation and Toda system, Comm. PDEs. 43 (2018), no. 3, 428-447 (pdf).
D. Bartolucci, A. Jevnikar, Y. Lee, W. Yang, Non degeneracy, Mean Field Equations and the Onsager theory of 2D turbulence, Arch. Ration. Mech. Anal. 230 (2018), no. 1, 397-426 (pdf).
D. Bartolucci, C. Gui, A. Jevnikar, A. Moradifam, A singular Sphere Covering Inequality: uniqueness and symmetry of solutions to singular Liouville-type equations, Math. Ann. 374 (2019), no. 3-4, 1883-1922 (pdf).
A. Jevnikar, W. Yang, A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects, Proc. Royal Soc. Edinburgh A 149 (2019), no. 2, 325-352 (pdf).
D. Bartolucci, A. Jevnikar, Y. Lee, W. Yang, Uniqueness of bubbling solutions of the mean field equations, J. Math. Pures Appl. 123 (2019), 78-126 (pdf).
D. Bartolucci, A. Jevnikar, C.S. Lin, Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains, J. Diff. Eq. 266 (2019), no. 1, 716-741 (pdf).
D. Bartolucci, A. Jevnikar, Y. Lee, W. Yang, Local uniqueness of m-bubbling sequences for the Gel'fand equation, Comm. PDEs (2019), no. 6, 447-466 (pdf).
D. Bartolucci, C. Gui, Y. Hu, A. Jevnikar, W. Yang, Mean field equation on torus: existence and uniqueness of evenly symmetric blow-up solutions, Discrete Contin. Dyn. Syst. - A 40 (2020), no. 6, 3093-3116 (pdf). [Special issue to honor Wei-Ming Ni's 70th birthday.]
D. Bartolucci, A. Jevnikar, Y. Lee, W. Yang, Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data, J. Diff. Eq. 269 (2020), no. 3, 2057-2090 (pdf).
A. Jevnikar, A. Malchiodi, R. Wu, Existence results for a super-Liouville equation on compact surfaces, Trans. Amer. Math. Soc. 373 (2020), no. 12, 8837-8859 (pdf).
W. Ao, A. Jevnikar, W. Yang, On the boundary behavior for the blow up solutions of the Sinh-Gordon equation and rank N Toda systems in bounded domains, Int. Math. Res. Not. (IMRN) (2020), no. 23, 9386-9419 (pdf).
W. Ao, A. Jevnikar, W. Yang, Wave equations associated with Liouville-type problems: global existence in time and blow up criteria, Ann. Mat. Pura Appl. 200 (2021), 1175-1194 (pdf).
D. Bartolucci, A. Jevnikar, On the global bifurcation diagram of the Gel'fand problem, Anal. PDE 14-8 (2021), 2409-2426 (pdf).
A. Jevnikar, A. Malchiodi, R. Wu, Existence results for super-Liouville equations on the sphere via bifurcation theory, J. Math. Study 54 (2021), no. 1, 89-122 (pdf). [Special issue to honor Alice Chang's and Paul Yang's 70th birthday.]
A. Jevnikar, A. Malchiodi, R. Wu, Min-max solutions for super sinh-Gordon equations on compact surfaces, J. Diff. Eq. 289 (2021), 128-158 (pdf).
A. Jevnikar, R. Lopez-Soriano, M. Medina, D. Ruiz, Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures, Anal. PDE 15 (2022), no. 8, 1897-1931 (pdf).
D. Bartolucci, A. Jevnikar, On the uniqueness and monotonicity of solutions of free boundary problems, J. Diff. Eq. 306 (2022), 152-188 (pdf).
D. Bartolucci, A. Jevnikar, New universal estimates for free boundary problems arising in plasma physics, Proc. Amer. Math. Soc. 150 (2022), 673-686 (pdf).
D. Bartolucci, Y. Hu, A. Jevnikar, W. Yang, Generic properties of free boundary problems arising in plasma physics, Nonlinearity 35 (2022), 411–444 (pdf) .
W. Ao, A. Jevnikar, W. Yang, Blow up solutions for Sinh-Gordon equation with residual mass, Calc. Var. and PDEs 61 (2022), 209 (pdf).
Y. Hu, A. Jevnikar, W. Xie, Infinitely many solutions for Schrödinger-Newton equations, Commun. Contemp. Math. 25, (2023), no. 5, 2350008 (pdf).
L. Battaglia, A. Jevnikar, Z.A. Wang, W. Yang, Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary, Ann. Mat. Pura Appl. 202, (2023), no. 3, 1173-1185 (pdf).
D. Bartolucci, A. Jevnikar, J. Jin, C.S. Lin, S. Liu, Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains, J. Math. Anal. Appl. 525 (2023), 127132 (pdf).
A. Jevnikar, R. Wu, Existence results for a super Toda system, Ann. Glob. Anal. Geom. 64, 1 (2023) (pdf).
D. Bartolucci, Y. Hu, A. Jevnikar, W. Yang, Generic properties of the Rabinowitz unbounded continuum, Adv. Nonlinear Stud. 23, (2023), no. 1, 20220062 (pdf).
D. Bartolucci, A. Jevnikar, R. Wu, A Courant nodal domain theorem for linearized mean field type equations, Commun. Pure Appl. Anal. 22 (2023), no. 9, 2744-2759 (pdf).
A. Jevnikar, J. Wang, W. Yang, Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems, Z. Angew. Math. Phys. 74, 145 (2023) (pdf).
D. Bartolucci, A. Jevnikar, R. Wu, On the global bifurcation diagram of the equation -Du = m |x|^{2a} e^u in dimension two, Differential and Integral Equations 37, no. 7-8 (2024), 425-442 (pdf).
A. Jevnikar, Y. Sire, W. Yang, Prescribing Q-curvature on even-dimensional manifolds with conical singularities, Rev. Mat. Iberoam. (2023), to appear (pdf).
D. Bartolucci, P. Cosentino, A. Jevnikar, C.S. Lin, On the first eigenvalue of Liouville-type problems, Preprint (2023), (pdf).
D. Bartolucci, A. Jevnikar, Y. Hu, J. Wei, W. Yang, A Lane-Emden system of free boundary type: existence, uniqueness and monotonicity of solutions, Preprint (2023).
Q. Fei, A. Jevnikar, S.H. Moon, A note on a generalized Liouville equation, Preprint (2023).
Q. Fei, A. Jevnikar, S.H. Moon, A flow approach to Liouville systems, Preprint (2023).