We establish existence results for the boundary-value problem in a smooth bounded domain in , where 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.
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Département de Mathématiques
Faculté des Sciences de Tunis
Campus universitaire, 1060 Tunis, Tunisia
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