Multiple solutions for a class ofsemilinear elliptic variational inclusion problems

Rong Xiao; Yuying Zhou

doi:10.3934/jimo.2011.7.991

Article Contents

2011, Volume 7, Issue 4: 991-1002. Doi: 10.3934/jimo.2011.7.991

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Multiple solutions for a class of semilinear elliptic variational inclusion problems

Rong Xiao^1, and
Yuying Zhou^1,

1.
Department of Mathematics, Soochow University, Suzhou, 215006

Received: August 31, 2010

Revised: June 30, 2011

Published: September 2011

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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.

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Mathematics Subject Classification: Primary: 35R70, 35R45; Secondary: 35J50.

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