Positive solutions for Neumann elliptic problems involving critical Hardy–Sobolev exponent with boundary singularities |
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| Authors: | Yan-Ying Shang Chun-Lei Tang |
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| Institution: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, People’s Republic of China |
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| Abstract: | In this paper we consider the existence of positive solution for some semilinear elliptic equations with Neumann boundary condition involving a critical Hardy–Sobolev exponent and Hardy terms with boundary singularities. Using mountain pass lemma without (PS) condition and the strong maximum principle, we get the existence of a positive solution. |
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| Keywords: | Critical Hardy&ndash Sobolev exponent Neumann boundary condition Boundary singularities Positive solution |
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