Sign-changing solutions for elliptic problems with critical Sobolev-Hardy exponents |
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| Authors: | Dongsheng Kang Shuangjie Peng |
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| Institution: | a Department of Mathematics, South-Central University for Nationalities, Wuhan 430074, PR China
b Institute of Applied Mathematics, AMSS, Chinese Academy of Sciences, Beijing 100080, PR China |
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| Abstract: | Let  be a smooth bounded domain such that 0∈Ω, N?7, 0?s<2, 2∗(s)=2(N−s)/(N−2). We prove the existence of sign-changing solutions for the singular critical problem −Δu−μ(u/|x|2)=(|u|2∗(s)−2/|x|s)u+λu with Dirichlet boundary condition on Ω for suitable positive parameters λ and μ. |
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| Keywords: | Sign-changing solutions Compactness Critical Sobolev-Hardy exponents Singularity |
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