Infinitely Many Solutions for Mixed Elliptic Problems Involving the p−Laplacian-Reference-Cited by-同舟云学术

Infinitely Many Solutions for Mixed Elliptic Problems Involving the p−Laplacian

Published:2015-11-01 Issue:4 Volume:15 Page:939-950
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Bonanno Gabriele¹,D’Aguí Giuseppina¹,Papageorgiou Nikolaos S.²

Affiliation:

1. Department of Civil, Computer, Construction Environmental Engineering and Applied Mathematics, University of Messina, 98166 - Messina, Italy

2. Department of Mathematics, National Technical University of Athens, Zografou Campus, Athens 15780, Greece

Abstract

Abstract In this paper the existence of infinitely many solutions for nonlinear elliptic problems involving the p-Laplacian operator with mixed Dirichlet-Neumann boundary conditions is established. The key assumption is a suitable oscillating behavior, either at infinity or at zero, of the nonlinearity. The approach is based on the critical point theory.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2015-0410/pdf

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