Resonance problems for Kirchhoff type equations

Jijiang Sun; Chun-Lei Tang

doi:10.3934/dcds.2013.33.2139

Article Contents

2013, Volume 33, Issue 5: 2139-2154. Doi: 10.3934/dcds.2013.33.2139

This issue Previous Article Variational methods for non-local operators of elliptic type Next Article Non-degeneracy and uniqueness of periodic solutions for $2n$-order differential equations

Resonance problems for Kirchhoff type equations

Jijiang Sun^1, and
Chun-Lei Tang^1,

1.
School of Mathematics and Statistics, Southwest University, Chongqing 400715

Received: November 30, 2011

Revised: May 31, 2012

Published: April 2013

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Abstract

The existence of weak solutions is obtained for some Kirchhoff type equations with Dirichlet boundary conditions which are resonant at an arbitrary eigenvalue under a Landesman-Lazer type condition by the minimax methods.

Keywords:

Mathematics Subject Classification: Primary: 35J60; Secondary: 47J10,35A15.

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