Publicaciones (publications)

• Fractional eigenvalue problems that approximate Steklov eigenvalues. Co-author: Julio. D. Rossi and Ariel Salort. Aceptado en Proceedings of the Royal Society of Edinburgh Section A: Mathematics.
  
  
• A priori bounds and existence of solutions for some nonlocal elliptic problems. Co-authors: B. Barrios, J. García-Melián and A. Quaas. Aceptado en Revista Matemática Iberoamericana.
  
  
• A Hopf's lemma and a strong minimum principle for the fractional $p-$Laplacian. Co-author: Alexander Quaas. J. Differential Equations, 263, no. 1, 765-778, (2017).
  
  
• Non-resonant Fredholm alternative and anti-maximum principle for the fractional $p-$Laplacian. Co-author: Alexander Quaas. J. Fixed Point Theory Appl., 19 , no. 1, 939-958, (2017).
  
  
• Monotonicity of solutions for some nonlocal elliptic problems in half-spaces. Co-authors: B. Barrios, J. García-Melián and A. Quaas. Calc. Var. Partial Differential Equations, 56, no. 2, 56:39, (2017).
  
  
• Eigenvalues for a nonlocal pseudo $p-$Laplacian. Co-author: Julio D. Rossi. Discrete Contin. Dyn. Syst., 36, no. 12, 6737 - 6765, (2016).
  
  
• Global bifurcation for fractional $p$-Laplacian and application. Co-author: Alexander Quaas. Z. Anal. Anwend., 35, no. 4, 411-447, (2016).
  
  
• The first eigenvalue of the $p-$Laplacian on quantum graphs. Co-author: Julio D. Rossi. Anal. Math. Phys., 6, no. 4, 365-391, (2016).
  
  
• Clustering for metric graphs using the $p-$Laplacian. Co-author: Julio D. Rossi. Michigan Math. J., 65, no. 3, 451-472, (2016).
  
  
• The first nontrivial eigenvalue for a system of $p-$Laplacians with Neumann and Dirichlet boundary conditions. Co-author: Julio D. Rossi. Nonlinear Analysis, 137, pp. 381-401, (2016).
  
  
• An optimal mass transport approach for limits of eigenvalue problems for the fractional $p$-Laplacian. Co-authors: Julio D. Rossi, Nicolás Saintier and Ariel Salort. Adv. Nonlinear Anal, 4 (3), 235-249, (2015).
  
  
• The first non-zero Neumann $p-$fractional eigenvalue. Co-author: Ariel Salort. Nonlinear Anal., 118, 130-143, (2015).
  
  
• Order of convergence of the finite element method for the $p(x)-$Laplacian. Co-author: Sandra Martínez. IMA J. Numer. Anal., 35, no. 4, 1864-1887, (2015).
  
  
• Estimates for nonlinear harmonic measures on trees. Co-authors: Carolina Mosquera and Julio D. Rossi. Bull. Braz. Math. Soc. (N.S.), 45, no. 3, 405-432, (2014).
  
  
• Existence, uniqueness and decay rates for evolution equations on trees. Co-authors: Carolina Mosquera and Julio D. Rossi. Port. Math., 71, no. 1, 63-77, (2014).
  
  
• The unique continuation property for a nonlinear equation on trees. Co-authors: Carolina Mosquera and Julio D. Rossi. J. Lond. Math. Soc., (2) 89, no. 2, 364-382, (2014).
  
  
• Tug-of-War games and parabolic problems with spatial and time dependence. Co-author: Julio D. Rossi. Differential Integral Equations, 27, no. 3-4, 269-288, (2014).
  
  
• $H^2$ regularity for the $p(x)-$Laplacian in two-dimensional convex domains. Co-author: Sandra Martínez. J. Math. Anal. Appl., 410, no. 2, 939-952, (2014).
  
  
• Interior penalty discontinuous Galerkin FEM for the $p(x)$-Laplacian. Co-authors: Ariel Lombardi and Sandra Martínez. SIAM J. Numer. Anal., 50, no. 5, 2497-2521, (2012).
  
  
• Optimal boundary holes for the Sobolev trace constant. Co-authors: Julián Fernandez Bonder and Wladimir Neves. J. Differential Equations, 251, no. 8, 2327-2351, (2011).
  
  
• Optimization problem for extremals of the trace inequality in domains with holes. Commun. Contemp. Math., 12, no. 4, 569-586, (2010).
  
  
• An optimization problem for the first weighted eigenvalue problem plus a potential. Co-author: Julián Fernández Bonder. Proc. Amer. Math. Soc., 138, no. 10, 3551-3567, (2010).
  
  
• Remarks on an optimization problem for the $p-$Laplacian. Co-author: Julián Fernández Bonder. Appl. Math. Lett., 23, no. 2, 188-192, (2010).
  
  
• Some optimization problems for p-Laplacian type equations. Co-author: Julián Fernández Bonder. Appl. Math. Optim., 59, no. 3, 365-381, (2009).
  
  
• An optimization problem for the first Steklov eigenvalue of a nonlinear problem. Co-authors: Julián Fernández Bonder and J.D. Rossi. Differential Integral Equations, 19, no. 9, 1035-1046, (2006).
  
  
• An optimization problem for the first eigenvalue of the p-Laplacian plus a potential. Co-author: Julián Fernández Bonder. Commun. Pure Appl. Anal., 5, no. 4, 675-690, (2006).

• Symmetry results in the half space for a semi-linear fractional Laplace equation through a one-dimensional analysis. Co-authors: B. Barrios, J. García-Melián and A. Quaas. 
  
  
• Traces for fractional Sobolev spaces with variable exponents. Co-author: Julio D. Rossi. 
  
  
• Eigenvalues for systems of fractional $p-$Laplacians. Co-author: Julio D. Rossi. 
  
  
• Finite element approximation for the fractional eigenvalue problem. Co-authors: Juan Pablo Borthagaray and Sandra Martínez. 
  
  
• An optimization problem for the first eigenvalue of the p-fractional Laplacian. Co-authors: Julián Fernández Bonder and Luis López Ríos. 
  
  
• The decomposition-coordination method for the $p(x)$-Laplacian. Co-author: Sandra Martínez.