p-Laplacian problems where the nonlinearity crosses an eigenvalue

Kanishka Perera; Andrzej Szulkin

doi:10.3934/dcds.2005.13.743

Article Contents

2005, Volume 13, Issue 3: 743-753. Doi: 10.3934/dcds.2005.13.743

This issue Previous Article A priori estimates and precise regularity for parabolic systems with discontinuous data Next Article Euler equation in a channel in space dimension 2 and 3

p-Laplacian problems where the nonlinearity crosses an eigenvalue

Kanishka Perera^1, and
Andrzej Szulkin^2,

1.
Department of Mathematical Sciences, Florida Institute of Technology, 150 W University Blvd, Melbourne, FL 32901
2.
Department of Mathematics, Stockholm University, 106 91 Stockholm

Received: September 2004

Revised: March 2005

Published online: May 2005

Abstract / Introduction Related Papers Cited by

Abstract

Using linking arguments and a cohomological index theory we obtain nontrivial solutions of $p$-Laplacian problems with nonlinearities that interact with the spectrum.

Keywords:

Mathematics Subject Classification: Primary: 35J60; Secondary: 34B15, 47J30.

Citation:

Article Metrics

HTML views() PDF downloads(84) Cited by(0)

p-Laplacian problems where the nonlinearity crosses an eigenvalue

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

p-Laplacian problems where the nonlinearity crosses an eigenvalue

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content