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A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms
Authors:Daomin Cao  Shuangjie Peng
Institution:a Academy of Mathematics and System Sciences, Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, People's Republic of China
b Department of Mathematics, Xiaogan University, Xiaogan 432100, People's Republic of China
Abstract:Let View the MathML source be a bounded domain such that View the MathML source. We obtain existence of sign-changing solutions for the Dirichlet problem View the MathML source on Ω,u=0 on ∂Ω for suitable positive numbers μ and λ.
Keywords:Sign-changing solutions  Compactness  Critical Sobolev and Hardy exponents
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