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Journal of Industrial and Management Optimization (JIMO)
 

Multiple solutions for a class of semilinear elliptic variational inclusion problems

Pages: 991 - 1002, Volume 7, Issue 4, November 2011      doi:10.3934/jimo.2011.7.991

 
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Rong Xiao - Department of Mathematics, Soochow University, Suzhou, 215006, China (email)
Yuying Zhou - Department of Mathematics, Soochow University, Suzhou, 215006, China (email)

Abstract: In this paper, by using a local linking theorem, we obtain the existence of multiple solutions for a class of semilinear elliptic variational inclusion problems at non-resonance.

Keywords:  Local linking, coercive, (PS)-condition, inclusive mapping, projective operator.
Mathematics Subject Classification:  Primary: 35R70, 35R45; Secondary: 35J50.

Received: September 2010;      Revised: July 2011;      Published: August 2011.

 References