Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2012; 49(4): 669-684

Printed July 1, 2012

https://doi.org/10.4134/BKMS.2012.49.4.669

Copyright © The Korean Mathematical Society.

Degenerate semilinear elliptic problems near resonance with a nonprincipal eigenvalue

Hong-Min Suo and Chun-Lei Tang

GuiZhou University for Nationalities, Southwest University

Abstract

Using the minimax methods in critical point theory, we study the multiplicity of solutions for a class of degenerate Dirichlet problem in the case near resonance.

Keywords: degenerate elliptic equations, near resonance, Dirichlet problem, eigenvalue, saddle point

MSC numbers: 35J20, 35J25, 35J61, 35J70