H2 regularity for the p(x)-Laplacian in two-dimensional convex domains

In this paper we study the H2 global regularity for solutions of the p(x)-Laplacian in two-dimensional convex domains with Dirichlet boundary conditions. Here p:Ω→[p1, ∞) with p∈Lip(Ω-) and p1>1. © 2013 Elsevier Inc.Fil:Del Pezzo, L.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.Fil:Martínez, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina

An optimization problem for the first eigenvalue of the p-Laplacian plus a potential

In this paper we study the optimization problem for the first eigenvalue of the p-Laplacian plus a potential V with respect to V, when the potential is restricted to a bounded, closed and convex Bet of Lq(Ω).Fil:Del Pezzo, L.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina