PISA-HOKKAIDO-ROMA2 Summer School on Mathematics and Its Applications 2018

poster: Existence of Renormalized solutions for some nonlinear anisotropic Neumann problem

speaker: Rajae Bentahar (University of Tetouan Morocco)

abstract: In this paper we study the existence of renormalized solutions for the following elliptic equation -div (a(x,u,\nabla u)) + H(x, u,\nabla u) = f in \Omega a(x, u,\nabla u).n = 0 on \partial \Omega Where the date f belong to L1(\Omega) We prove the existence and some regularity of renormalized solutions for our strongly nonlinear Neumann problem in the anisotropic Sobolev spaces.

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