Orlicz capacities and applications to some existence questions for elliptic PDES having measure data

Abstract

We study the sequence un, which is solution of −div(a(x,∇n)) + Φ” (|un|) un = fn + gn in Ω an open bounded set of RN and un = 0 on Ω, when fn tends to a measure concentrated on a set of null Orlicz-capacity. We consider the relation between this capacity and the N-function Φ, and prove a non-existence result. © 2003 EDP Sciences, SMAI.