Multiplicity of solutions for a class of quasilinear elliptic equation involving the critical Sobolev and Hardy exponents

作者：Liang Sihua^*; Zhang Jihui

来源：Nodea-Nonlinear Differential Equations and Applications, 2010, 17(1): 55-67.

DOI：10.1007/s00030-009-0039-4

• p-Laplacian
• Hardy-Sobolev critical exponent
• Variational method
• Compactness

In this paper, by using concentration-compactness principle and a new version of the symmetric mountain-pass lemma due to Kajikiya (J Funct Anal 225:352-370, 2005), infinitely many small solutions are obtained for a class of quasilinear elliptic equation with singular potential
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• 出版日期2010-2
• 单位南京师范大学