Elliptic equations with measure data in Orlicz spaces
Ge Dong · DOAJ (DOAJ: Directory of Open Access Journals) · 2008
This article shows the existence of solutions to the nonlinear elliptic problem $A(u)=f$ in Orlicz-Sobolev spaces with a measure valued right-hand side, where $A(u)=-mathop{ m div}a(x,u, abla u)$ is a Leray-Lions operator defined on a subset of $W_{0}^{1}L_{M}(Omega)$, with general $M$.