Electron. J. Diff. Eqns., Vol. 2006(2006), No. 92, pp. 1-11.

Existence results for nonlinear elliptic equations in bounded domains of $R^n$

Malek Zribi

Abstract:
We establish existence results for the boundary-value problem $\Delta u+f(.,u)=0$ in a smooth bounded domain in $\mathbb{R}^n$ $(n\geq 2)$, where $f$ satisfies some appropriate conditions related to a Kato class. The proofs are based on various techniques related to potential theory.

Submitted May 4, 2006. Published August 15, 2006.
Math Subject Classifications: 34B27, 34J65.
Key Words: Green function; elliptic equation; positive solutions.

Show me the PDF file (227K), TEX file, and other files for this article.

Malek Zribi
Département de Mathématiques
Faculté des Sciences de Tunis
Campus universitaire, 1060 Tunis, Tunisia
email: malek.Zribi@insat.rnu.tn

Return to the EJDE web page