Nonlinear elliptic p(u)− Laplacian problem with Fourier boundary condition

Abstract

We study a nonlinear elliptic p(u)− Laplacian problem with Fourier boundary conditions and L 1 − data. The existence and uniqueness results of entropy solutions are established. RESUMENEstudiamos un problema p(u)−Laplaciano elíptico nolineal con condiciones de borde Fourier y datos L 1 . Se establecen resultados de existencia y unicidad de soluciones de entropía.

Entropy solutions for some elliptic problems involving the generalized p(u)-Laplacian operator

“…Zhang and X. Zhang in [20] have proved the existence of entropy solutions to problem (1.1) in the case where Θ = 0 and they have provided some positive answers for the two questions proposed by Chipot and de Oliveira in [13]. S. Ouaro and N. Sawadogo in [16] and [17] considered the following nonlinear Fourier boundary…”