All my preprints and papers are available on arXiv. See also my profile on Google Scholar.
All my preprints and papers are available on arXiv. See also my profile on Google Scholar.
Preprints
Vortex-sheet desingularization for three-dimensional ideal fluids (with A. Enciso and D. Meyer), preprint.
Uniformly rotating Euler flows with compactly supported velocity (with A. Enciso and D. Ruiz), submitted. Link
A contractible Schiffer counterexample on the half-sphere (with G. Cao-Labora), submitted. Link
Desingularization of vortex sheets for the 2D Euler equations (with A. Enciso and D. Meyer), submitted. Link
Accepted and published papers
Smooth nonradial stationary Euler flows on the plane with compact support (with A. Enciso and D. Ruiz), to appear in J. Eur. Math. Soc. Link
Blowing-up solutions to competitive critical systems in dimension 3 (with M. Medina and A. Pistoia), Rev. Mat. Iberoam. 42 (2026), no. 4, 1427-1463. Link
A Schiffer-type problem for annuli with applications to stationay planar Euler flows (with A. Enciso, D. Ruiz and P. Sicbaldi), Duke Math. J. 174 (2025), no. 6, 1151-1208. Link
Small spheres with prescribed nonconstant mean curvature in Riemannian manifolds (with A. Enciso and D. Peralta-Salas), J. Funct. Anal., 286 (2024), no. 11, paper no. 110415, 16 pp. Link
Non-uniqueness for the nonlocal Liouville equation in R and applications (with L. Battaglia, M. Cozzi and A. Pistoia), SIAM J. Math. Anal., 55 (2023), no. 5, 4816-4842. Link
Blowing-up solutions for a nonlocal Liouville type equation (with M. Cozzi), Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 25 (2024), no. 4, 1967-2049. Link
Deterministic KPZ-type equations with nonlocal "gradient terms" (with B. Abdellaoui, T. Leonori and A. Younes), Ann. Mat. Pura Appl., 202 (2023), no. 3, 1451-1468. Link
Global fractional Calderón-Zygmund type regularity (with B. Abdellaoui, T. Leonori and A. Younes), Commun. Contemp. Math., 27 (2025), no. 8, paper no. 2550004, 35 pp. Link
Non-homogeneous Gagliardo-Nirenberg inequalities and application to a biharmonic non-linear Schrödinger equation (with L. Jeanjean, R. Mandel and M. Mariş), J. Differential Equations, 330 (2022), 1-65. Link
The nonlinear Schrödinger equation in the half-space (with T. Weth), Math. Ann., 383 (2022), no. 1-2, 361-397. Link
Existence and multiplicity for an elliptic problem with critical growth in the gradient and sign-changing coefficients (with C. De Coster), Calc. Var. Partial Differential Equations, 59 (2020), no. 3, paper no. 97, 34 pp. Link
Nonlinear fractional Laplacian problems with nonlocal "gradient terms" (with B. Abdellaoui), Proc. Royal Soc. Edinburgh Sect. A, 150 (2020), no. 5, 2682-2718. Link
A priori bounds and multiplicity of solutions for an indefinite elliptic problem with critical growth in the gradient (with C. De Coster and L. Jeanjean), J. Math. Pures Appl., 132 (2019), 308-333. Link
Existence and multiplicity for elliptic p-Laplacian problems with critical growth in the gradient (with C. De Coster), Calc. Var. Partial Differential Equations, 57 (2018), no. 3, paper no. 89, 42 pp. Link
PhD Thesis
Existence and multiplicity of solutions for elliptic problems with critical growth in the gradient. Available here