Electron. J. Diff. Eqns., Vol. 2008(2008), No. 76, pp. 1-10.

Elliptic equations with measure data in Orlicz spaces

Ge Dong

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 $A(u)=-\hbox{div}a(x,u,\nabla u)$ 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.

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Ge Dong
Department of Mathematics, Shanghai University
No. 99, Shangda Rd., Shanghai, China
Department of Basics, Jianqiao College
No. 1500, Kangqiao Rd., Shanghai, China
email: dongge97@sina.com

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