Can I read Existence and Multiplicity of Solutions for Neumann p-Laplacian-Type Equations on EtoBox?

Existence and Multiplicity of Solutions for Neumann p-Laplacian-Type Equations by Leszek Gasiński; Nikolaos S. Papageorgiou is a Mathematics article available to read on EtoBox.

What is Existence and Multiplicity of Solutions for Neumann p-Laplacian-Type Equations about?

## Abstract We consider nonlinear Neumann problems driven by p-Laplacian-type operators which are not homogeneous in general. We prove an existence and a multiplicity result for such problems. In the existence theorem, we assume that the right hand side nonlinearity is p-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. In the multiplicity result, when specialized to the case of the p-Laplacian, we allow strong resonance at infinity and resonance at 0.

Who reads Existence and Multiplicity of Solutions for Neumann p-Laplacian-Type Equations?

Author

Leszek Gasiński; Nikolaos S. Papageorgiou

Publisher

Walter de Gruyter GmbH

Published

2008

Language

EN

Field

Mathematics (Physical Sciences)