Multiple solutions for nonlinear coercive Neumann problems

Sophia Th. Kyritsi; Nikolaos S. Papageorgiou

doi:10.3934/cpaa.2009.8.1957

Article Contents

2009, Volume 8, Issue 6: 1957-1974. Doi: 10.3934/cpaa.2009.8.1957

This issue Previous Article On synchronization of oscillations of two coupled Berger plates with nonlinear interior damping Next Article Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications

Multiple solutions for nonlinear coercive Neumann problems

Sophia Th. Kyritsi^1, and
Nikolaos S. Papageorgiou^2,

1.
Department of Mathematics, Hellenic Naval Academy, Piraeus 18539
2.
Department of Mathematics, National Technical University, Zografou Campus, Athens 15780

Received: May 31, 2008

Revised: January 31, 2009

Published: October 2009

Abstract Related Papers Cited by

Abstract

In this paper we deal with a nonlinear Neumann problem driven by the $p$--Laplacian and with a potential function which asymptotically at infinity is $p$--linear. Using variational methods based on critical point theory coupled with suitable truncation techniques, we prove a theorem establishing the existence of at least three nontrivial smooth solutions for the Neumann problem. For the semilinear case (i.e., $p=2$) using Morse theory, we produce one more nontrivial smooth solution.

Keywords:

Mathematics Subject Classification: 35J25, 35J70, 58E05, 58J70.

Citation:

Article Metrics

HTML views() PDF downloads(89) Cited by(0)

Multiple solutions for nonlinear coercive Neumann problems

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Multiple solutions for nonlinear coercive Neumann problems

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content