Publications in international journals :

• Sticky-reflecting diffusion as a Wasserstein gradient flow. Joint work with Léonard Monsaingeon and Filippo Santambrogio. To appear in J. Math. Pures Appl. Link 

• Classification of radial blow-up at the first critical exponent for a Lin-Ni-Takagi problem on the ball. Joint work with Denis Bonheure and Bruno Premoselli. Math. Ann.   390 (2024), no. 4, 5553–5605 . Link

• On the existence and partial stability of standing waves for a nematic liquid crystal director field equation. Joint work with Paulo Amorim and Joao Paulo Dias. Milan J. Math. 92 (2024), no. 1, 143–167. Link

• Hidden dissipation and convexity for Kimura equations. Joint work with Léonard Monsaingeon. SIAM J. Math. Anal. 55 (2023), no. 6, 7361–7398. 

• Keller-Segel: a survey on radial steady states. Nonlinear Differential Equations and Applications. PICNDEA 2022. CIM Series in Mathematical Sciences, vol 7. Springer, Cham. Link

• Translating solitons over Cartan-Hadamard manifolds. J. Geom. Anal. 33 (2023), no. 5, Paper No. 163, 31 pp. Link

•  Invariant measures and global well-posedness for a fractional Schrödinger equation with Moser-Trudinger type nonlinearity. Joint work with Léonard

 Monsaingeon.  Stoch. Partial Differ. Equ. Anal. Comput. 12 (2024), no. 1, 416–465. Link

•  Fourth order Schrödinger equation with mixed dispersion on Cartan-Hadamard manifolds. Joint work with Ilkka Holopainen. J. Dynam. Differential Equations 36 (2024), no. 3, 2057–2092. Link

•  Non-parametric mean curvature flow with prescribed contact angle in Riemannian products. Joint work with Esko Heinonen, Ilkka Holopainen and

Jorge De Lira. Anal. Geom. Metr. Spaces 10 (2022), no. 1, 31-39. Link

• Unbounded mass radial solutions for the Keller-Segel equation in the disk. Joint work with Denis Bonheure and Carlos Roman.  Calc. Var. Partial Differential Equations 60 (2021), Paper No. 198. Link

• Bifurcation analysis of the Hardy-Sobolev equation. Joint work with Denis Bonheure and Francesca Gladiali. JDE Volume 296, 25 September 2021, Pages 759-798. Link

• Singular radial solutions for the Lin-Ni-Takagi equation. Joint work with Juraj Földes. Calc. Var. Partial Differential Equations 59 (2020), no. 5, Paper No. 168, 20 pp. Link

• On the asymptotic Dirichlet problem for a class of prescribed mean curvature type PDE’s in the hyperbolic space. Joint work with Leonardo Bonorino, Patricia Klaser Jaime Ripoll and Miriam Telichevesky.  Calc. Var. Partial Differential Equations 59 (2020), no. 4, 135. Link

• Construction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameter. Joint work with Christos Sourdis. J. Funct. Anal. 279 (2020), no. 8,108674, 40 pp. Link

•  On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space. Joint work with Rainer Mandel. Int. Math. Res. Not. IMRN 2021, no. 7, 4838–4863. Link

•  Singular radial solutions to the Keller-Segel equation on the ball in dimension N ≥ 3. Joint work with Denis Bonheure and Juraj Földes. J. Math. Pures Appl. (9) 134 (2020), 204-254. Link

•  Asymptotic Plateau problem for prescribed mean curvature hypersurfaces. Joint work with Ilkka Holopainen and Jaime Ripoll. Proc. Amer. Math. Soc. 148 (2020), no. 4, 1731-1743. Link

•  Asymptotic Dirichlet problems in warped product spaces. Joint work with Esko Heinonen, Ilkka Holopainen and Jorge de Lira. Math. Z. 295 (2020), no. 1-2, 211-248. Link

•  Normalized solutions for a mixed dispersion nonlinear Schrödinger equation in the mass supercritical regime.Joint work with Denis Bonheure, Tianxiang Gou and LouisJeanjean. Trans.Amer. Math. Soc. 372 (2019), no. 3, 2167-2212.  Link

• Standing wave solutions to a fourth order Helmhotz equation with mixed dispersion. Joint work with Denis Bonheure and Rainer Mandel. J. Lond. Math. Soc. (2) 99 (2019), no. 3, 831-852. Link

•  Orbitally stable standing waves of a mixed dispersion NLS. Joint work with Denis Bonheure, Ederson Moreira Dos Santos and Robson Nascimento. SIAM J. Math. Anal. 50 (2018), no. 5,5027-5071. Link

•  Existence and non-existence of minimal graphic and p-harmonic functions. Joint work with Esko Heinonen and Ilkka Holopainen.  Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), no. 1, 341-366. Link

•  Converse problem for the two-component radial Gross-Pitaevskii system with a large coupling parameter. Joint work with Christos Sourdis.  Proceedings of Equadiff17. Link

•  Convexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems. Joint work with Ilkka Holopainen and Jaime Ripoll. Math. Z. 290 (2018), 221-250. Link

•  Strong instability of ground states to a fourth order Schrödinger equation. Joint work with Denis Bonheure, Tianxiang Gou and Louis Jeanjean. Int. Math. Res. Not. IMRN 2019, no. 17,5299-5315. Link

•  Dirichlet problem for f-minimal graphs. Joint work with Esko Heinonen and Ilkka Holopainen. J. Anal. Math. 138 (2019), no. 2, 917-950. Link

•  Asymptotic Dirichlet problem for A-harmonic and minimal graph equations in Cartan-Hadamard manifolds. Joint work with Ilkka Holopainen and Jaime Ripoll. Comm. Anal. Geom. 27 (2019), no. 4, 809-855. Link

•  Renormalized solutions to a fourth order NLS in the mass subcritical regime. Rend. Sem. Mat. Univ. Pol. Torino 74 (2016), no. 3-4, 95-104. Special issue ”Bru-To Conference”. Link

•  On the asymptotic Dirichlet problem for the minimal hypersurface equation in a Hadamard manifold. Joint work with Ilkka Holopainen and Jaime Ripoll. Potential Analysis, 47 (2017),no. 4., 485-501. Link

•  Multiple positive solutions of the stationary Keller-Segel system. Joint work with Denis Bonheure and Benedetta Noris. Calc. Var. Partial Differential Equations 56 (2017), no. 3, Art. 74,35 pp. Link

•  Layered solutions with unbounded mass for the Keller-Segel equation. Joint work with Denis Bonheure and Benedetta Noris. J. Fixed Point Theory Appl.19(2017),no.1,529-558, Special issue in honour of Paul Rabinowitz. Link

•  Asymptotic Dirichlet problem for the minimal hypersurface equation under pointwise pinching conditions. Joint work with Esko Heinonen and Ilkka Holopainen. J. Geom. Anal. 27 (2017),no. 2, 1106-1130. Link

•  Some non-stability results for geometric Paneitz-Branson type equations. Joint work with Laurent Bakri. Nonlinearity 28 (2015), no. 9, 3337-3363. Link

•  On the asymptotic Plateau’s problem for CMC hypersurfaces on rank 1 symmetric spaces of noncompact type. Joint work with Jaime Ripoll. Asian Journal of Math. 20 (2016), No. 4, p.695-708. Link

•  A mean field type flow part II : Existence and convergence. Pacific Journal of Math. Vol. 276 (2015), No. 2, 321-345. Link

•  Non-stability of Paneitz-Branson equations in arbitrary dimensions. Joint work with Laurent Bakri. Nonlinear Anal. 107 (2014), 118-133. Link

•  A mean field type flow part I : Compactness of solutions to a perturbed mean field type equation. Calculus of Var. and PDEs May 2015, Volume 53, Issue 1-2, pp 221-246. Link

•  Equivariant mean field flow. Journal of Geometry and Physics, 2013, vol. 74, p. 314-327. Link

•  Quantitative uniqueness for Schrodinger operator with regular potentials. Joint work with Laurent Bakri. Math. Methods Appl. Sci. 37 (2014), no. 13, 1992-2008. Link

Preprints : 

• Large deviations for sticky-reflecting Brownian motion with boundary diffusion. Joint work with Léonard Monsaingeon and Luca Nenna. arXiv:2501.11394. Link

• Existence of solutions to a stochastic higher order Schrödinger equation with multiplicative noise. Link

• Higher order expansion for the probabilistic local well-posedness theory for the cubic Schrödinger equation with higher order operator. Joint work with Juraj Földes, Itamar Oliveira and Gennady Uraltsev. arXiv:2411.18184. Link

• Trivariate distribution of sticky Brownian motion. Joint work with Léonard Monsaingeon. arXiv :2307.10849. Link

• Construction of a two bubbles blowing-up solution for the fourth order energy critical nonlinear Schrödinger equation. Joint work with Ilkka Holopainen and Léonard Monsaingeon. arXiv:2304.14744. Link

• Higher order expansion for the probabilistic local well-posedness theory for the cubic Schrödinger equation. Joint work with Juraj Földes

and Gennady Uraltsev.  arXiv:2401.08872. Link

• Almost sure local well-posedness for a cubic nonlinear Schrödinger equation with higher order operators. Joint work with Juraj Földes and Gennady

 Uraltsev. arXiv :2203.03500. Link

• A restriction theorem on Damek-Ricci space and application to the nonlinear Helmholtz equation. Link

• Dynamics of a regularization to the half-wave equation. Link

• Existence of  travelling waves for a fourth order Schrödinger equation with mixed dispersion in the Helmholtz regime. Joint work with Juraj Földes. arXiv:2103.11440. Link

•  Travelling wave solutions for a fourth order Schrödinger equation with mixed dispersion. Link