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May  2007, 19(2): 431-445. doi: 10.3934/dcds.2007.19.431

A bounded resonance problem for semilinear elliptic equations

Jiabao Su 1, and  Zhaoli Liu 2,

1. 

School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
2. 

School of Mathematical Sciences, Capital Normal University, Beijing 100037, China

Received  July 2006 Revised  November 2006 Published  July 2007

In this paper we study the existence and multiplicity of nontrivial solutions for semilinear elliptic resonance problems with a bounded nonlinearity.
Keywords: Elliptic equation, Morse theory., bounded nonlinearity, multiple solutions.
Mathematics Subject Classification: Primary: 35J65, 58E0.
Citation: Jiabao Su, Zhaoli Liu. A bounded resonance problem for semilinear elliptic equations. Discrete & Continuous Dynamical Systems - A, 2007, 19 (2) : 431-445. doi: 10.3934/dcds.2007.19.431
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