Research interests: Problems with lack of compactness. Opinion formation Models. Non standard growth. Non local problems Published: 21. Ochoa P., Silva A., Suarez Marziani M.J., Existence and multiplicity of solutions for a Dirichlet problem in fractional Orlicz-Sobolev spaces, Annali di Matematica Pura ed Applicata, 2023, https://doi.org/10.1007/s10231-023-01351-w. PDF 20. Salort, B.Schavager and A. Silva. Nonstandard growth optimization problems with volume constraint. Differential and Integral equations, volume 36, Numbers 7-8 (2023), 573-592. PDF 19.J.V. da Silva, P.Ochoa and A. Silva. Fractional elliptic problems with nonlinear gradient sources and measures. Revista Matemática Complutense (2021). https://doi.org/10.1007/s13163-021-00391-1. PDF 18. S. Alarcón, A. Ritorto and A. Silva. Existence and nonexistence of solutions for the fractional nonlinear Schrodinger equation. Mathematical Methods in the Applied Sciences, 44(11), 2021, 8903-8924. PDF 17.J. Fernández Bonder, A. Silva and J. Spedaletti. Gamma convergence and asymptotic behaviour for eigenvalues of nonlocal problems. Discrete and Continuous Dynamical Systems, 41, 5, 2021, 2125-2140. PDF 16. J.V. da Silva, A.M. Salort, A. Silva, J.F. Spedaletti. Shape optimization in Orlicz-Sobolev spaces. J. Differential Equations.267(9), 5493-5520, 2019. PDF 15.J. Fernández Bonder, A. Silva and J.F Spedaletti. Uniqueness of minimal energy solution for a semilinear problem involving the fractional laplacian. Proc. Amer. Math. Soc. 147(2019), n07, 2925-2936. PDF 14.N.Cantizano and A. Silva. Three Solutions for a nonlocal problem with critical growth. J.Math.Anal.Appl 469(2019), no 2, 841-851. PDF . 13.J. Fernández Bonder, N. Saintier and A. Silva. The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem. NoDEA Nolinear Differential Equations. Appl. 25 (2018), 6 , art 52. PDF 12. M.Perez-LLanos, J.P.Pinasco, N.Saintier and A.Silva. Opinion formation models with Hetregeneous persuasion and Zaealotry. SIAM J. Math. Anal., 50(2018), No 5, 4812-4837. PDF 11. P.Ochoa, A. Silva, J.V. Da Silva. Regularity for degenerate evolution equation with strong absorption. J. Differential Equations. 264 (2018), no 12, 7270-7293. PDF 10. N. Saintier and A. Silva. Local existence conditions for an equations involving the p(x)-Laplacian with critical exponent in RN. NoDEA. 24 (2017),no 2, art 19, 36. PDF 9. J.P. Borthagaray, J. Fernández Bonder and A. Silva. A mass transportation approach for Sobolev inequality. Manuscripta Math. 151 (2016), n0 1-2, 133-146. PDF 8. J. Fernández Bonder, N. Saintier and A. Silva. A gamma convergence approach to the critical Sobolev embedding in variable exponent spaces. J. Math. Anal. Appl.442(2016), No1,189-205. PDF 7. J. Fernández Bonder, N. Saintier and A. Silva. Existence of solution to a critical trace equation with variable exponent. Asymp. Anal.93 (2015) 161-185. PDF 6. J. Fernández Bonder, N. Saintier and A. Silva. On the Sobolev trace Theorem for variable exponent spaces in the critical range.Ann. Mat. Pura Appl.(4)193 (2014) 1607-1628. PDF 5. J. Fernández Bonder, N. Saintier and A. Silva. Existence of solution to a critical equation with variable exponent. Ann. Acad. Sci. Fenn. Math. 37 (2012), 579-594. PDF 4. J. Fernández Bonder, N. Saintier y A. Silva. On the Sobolev embedding theorem for variable exponent spaces in the critical range. J. Differential Equations 253 (2012), no. 5, 1604-1620. PDF 3. A.Silva. Multiple solutions for the p(x)-laplace operator with critical growth. Advanced Nonlinear Studies. 11 (2011) 63-75 . PDF 2. J.Fernández Bonder y A. Silva. The concentration-compactness principle for variable exponent spaces and applications. Electron. J. Di . Equ., Vol. 2010(2010), No. 141, pp. 1-18. PDF 1. P. De Nápoli, J. Fernández Bonder y A. Silva. Multiple solutions for the p-laplace operator with critical growth. Nonlinear Anal. TMA., 71 (2009), 6283-6289.PDF In Press 1. J.V. da Silva, A. Silva and H.Vivas. Lipschitz regularity of almost minimizers in a Bernoulli problem with non-standard growth. To appear in Discrete and Continuous Dynamical Systems. Series A. Disponible en: Doi: 10.3934/dcds.2024001. Diciembre 2023. PDF Submitted for publication 1. I.Ceresa-Dussel, J. Fernández Bonder and A. Silva. A priori estimates for solutions of $g$-Laplace type problems.PDF 2.P.Ochoa and A. Silva. An existence result for a Schrödinger-Kirchhoff critical problem in p-magnetic fractional Sobolev spaces. PDF 3. P. Ochoa and A. Silva. Effect of non-linear lower order terms in quasilinear equations involving the $p(x)$- Laplacian. PDF 4.J. Fernández Bonder and A. Silva. The concentration compactness principle for Orlicz spaces and applications. PDF 5.M.C. Romero Longar, N.Saintier and A.Silva. Opinion formation process in a hierarchical society. PDF
Phd. Thesis Elliptic problems with nonstadard growth and lack of compactness (2013) (ENGLISH). PDF