Resonance and nonresonance for p-Laplacian problems with weightedeigenvalues conditions

Francisco Odair de Paiva; Humberto Ramos Quoirin

doi:10.3934/dcds.2009.25.1219

Article Contents

2009, Volume 25, Issue 4: 1219-1227. Doi: 10.3934/dcds.2009.25.1219

This issue Previous Article On the global attractor of delay differential equations with unimodal feedback Next Article On the meromorphic non-integrability of some $N$-body problems

Resonance and nonresonance for p-Laplacian problems with weighted eigenvalues conditions

Francisco Odair de Paiva^1, and
Humberto Ramos Quoirin^2,

1.
Departamento de Matemática, IMECC - UNICAMP , Caixa Postal 6065, 13081-970 Campinas-SP
2.
ULB, CP 214 Bd du Triomphe, B-1050 Bruxelles

Received: November 30, 2007

Revised: June 30, 2009

Published: October 2009

Abstract Related Papers Cited by

Abstract

We study multiplicity of solutions for a quasilinear elliptic problem related to the $p$-Laplacian operator. Our assumptions rely on the first eigenvalue depending on a weight function. We treat both resonant and non-resonant cases.

Keywords:

Mathematics Subject Classification: Primary: 35J25; Secondary: 58E05.

Citation:

Article Metrics

HTML views() PDF downloads(111) Cited by(0)

Resonance and nonresonance for p-Laplacian problems with weighted eigenvalues conditions

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Resonance and nonresonance for p-Laplacian problems with weighted eigenvalues conditions

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content