Existence of sign-changing solutions for semilinear singular elliptic equations with critical Sobolev exponents |
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Authors: | Qianqiao Guo Pengcheng Niu |
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Institution: | Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, 710072, China |
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Abstract: | We consider the semilinear elliptic problem in Ω, u=0 on ∂Ω, where 0∈Ω is a smooth bounded domain in RN, N?4, , is the critical Sobolev exponent, f(x,⋅) has subcritical growth at infinity, K(x)>0 is continuous. We prove the existence of sign-changing solutions under different assumptions when Ω is a usual domain and a symmetric domain, respectively. |
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Keywords: | Semilinear elliptic equation Sign-changing solution Critical Sobolev exponent Hardy potential |
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