All my preprints and papers are available on arXiv. See also my profile on Google Scholar.

Preprints

• M. del Pino and A. J. Fernández, Desingularization of vortices for the generalized SQG equations, in preparation,  ≥ 90pp.

• A. Enciso, A. J. Fernández, D. Ruiz and P. Sicbaldi, A Schiffer-type problem for annuli with applications to stationay planar Euler flows, submitted.  Link

Accepted and published papers

•  A. Enciso, A. J. Fernández and D. Peralta-Salas, Small spheres with prescribed nonconstant mean curvature in Riemannian manifolds, J. Funct. Anal., 286 (2024), no. 11, paper no. 110415, 16 pp.   Link

•  L. Battaglia, M. Cozzi, A. J. Fernández and A. Pistoia, Non-uniqueness for the nonlocal Liouville equation in R and applications, SIAM J. Math. Anal., 55 (2023), no. 5, 4816-4842.  Link

• M. Cozzi and A. J. Fernández, Blowing-up solutions for a nonlocal Liouville type equation, to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci. (5).  Link 

• B. Abdellaoui, A. J. Fernández, T. Leonori and A. Younes, Deterministic KPZ-type equations with nonlocal "gradient terms", Ann. Mat. Pura Appl., 202 (2023), no. 3, 1451-1468.  Link

• B. Abdellaoui, A. J. Fernández, T. Leonori and A. Younes, Global fractional Calderón-Zygmund type regularity, to appear in Commun. Contemp. Math.  Link

• A. J. Fernández, L. Jeanjean, R. Mandel and M. Mariş, Non-homogeneous Gagliardo-Nirenberg inequalities and application to a biharmonic non-linear Schrödinger equation, J. Differential Equations, 330 (2022), 1-65.  Link

• A. J. Fernández and T. Weth, The nonlinear Schrödinger equation in the half-space, Math. Ann., 383 (2022), 361-397.   Link

• C. De Coster and A. J. Fernández,  Existence and multiplicity for an elliptic problem with critical growth in the gradient and sign-changing coefficients, Calc. Var. Partial Differential Equations, 59 (3) (2020), paper no. 97, 34 pp.   Link   

• B. Abdellaoui and A. J. Fernández, Nonlinear fractional Laplacian problems with nonlocal "gradient terms", Proc. Royal Soc. Edinburgh Sect. A, 150 (2020), 2682-2718.   Link 

• C. De Coster, A. J. Fernández and L. Jeanjean, A priori bounds and multiplicity of solutions for an indefinite elliptic problem with critical growth in the gradient, J. Math. Pures Appl., 132 (2019), 308-333.   Link

• C. De Coster and A. J. Fernández, Existence and multiplicity for elliptic p-Laplacian problems with critical growth in the gradient, Calc. Var. Partial Differential Equations, 57 (3) (2018), paper no. 89, 42 pp.   Link  

PhD Thesis

• Existence and multiplicity of solutions for elliptic problems with critical growth in the gradient. Available here