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Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains
Authors:Qianqiao Guo  Junqiang Han  Pengcheng Niu
Institution:Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710129, China
Abstract:In this paper, we consider the elliptic equations with critical Sobolev exponents and multi-polar potentials in bounded symmetric domains and prove the existence and multiplicity of symmetric positive solutions by using the Ekeland variational principle and the Lusternik–Schnirelmann category theory.
Keywords:Elliptic equation  Sobolev exponent  Multi-polar potentials  Bounded symmetric domain  Positive solution
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