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Multiple solutions for a class of biharmonic equations with a nonlinearity concave at the origin
Authors:Jian Zhang  Zhongli Wei
Institution:a School of Mathematics, Shandong University, Jinan, Shandong 250100, People?s Republic of China
b Department of Mathematics, Shandong Jianzhu University, Jinan, Shandong 250101, People?s Republic of China
Abstract:In this paper, we investigate the existence of multiple solutions for a class of biharmonic equations where the nonlinearity involves a concave term at the origin. The solutions are obtained from the versions of mountain pass lemma and linking theorem.
Keywords:Biharmonic equation  Nonlinearity concave at the origin  Multiple solutions
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