Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 76, pp. 1-10.
Title: Elliptic equations with measure data in Orlicz spaces
Author: Ge Dong (Shanghai Univ., China)
Abstract:
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
$A(u)=-\mathop{\rm div}a(x,u,\nabla u)$ is a Leray-Lions operator
defined on a subset of $W_{0}^{1}L_{M}(\Omega)$, with general $M$.
Submitted October 8, 2006. Published May 27, 2008.
Math Subject Classifications: 35J15, 35J20, 35J60.
Key Words: Orlicz-Sobolev spaces; elliptic equation; nonlinear; measure data.