Multiple solutions for quasilinear Schrödinger equations involving critical exponent |
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| Authors: | Wang Youjun Zhang Yimin |
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| Affiliation: | a Department of Mathematical Sciences, Tsinghua University, Beijing 100084, PR China
b Department of Mathematics, South China University of Technology, Guangzhou 510640, PR China |
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| Abstract: | By using Lions’ second concentration-compactness principle and concentration-compactness principle at infinity to prove that the (PS) condition holds locally and by minimax methods and the Krasnoselski genus theory, we establish the multiplicity of solutions for a class of quasilinear Schrödinger equations arising from physics. |
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| Keywords: | Quasilinear Schrö dinger equations Critical exponents Concentration-compactness |
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