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MULTIPLICITY OF SOLUTIONS FOR SINGULAR SEMILINEAR ELLIPTIC EQUATIONS WITH CRITICAL HARDY-SOBOLEV EXPONENTS

DOI: 10.2298/aadm0802158g

Keywords: Critical Hardy , Sobolev exponents , Hardy potential , variational method

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Abstract:

We consider the semilinear elliptic problem with critical Hardy-Sobolevexponents and Dirichlet boundary condition. By using variational methodswe obtain the existence and multiplicity of nontrivial solutions and improve the former results.

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