Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data

Abstract

This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of entropy solutions (up) of some nonlinear parabolic equation in inhomogeneous Orlicz-Sobolev spaces with L1-data involving the parameter p.

Keywords

• nonlinear variational inequalities
• nonlinear parabolic equations
• p-laplacian
• orlicz spaces
• 35j87
• 35k55
• 35j60
• 46e30