On positive G-symmetric solutions of a weighted quasilinear elliptic equation with critical hardy-sobolev exponent |
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| Authors: | Zhiying DENG Yisheng HUANG |
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| Institution: | 1. School of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;2. Department of Mathematics, Soochow University, Suzhou 215006, China |
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| Abstract: | In this paper, we are concerned with a weighted quasilinear elliptic equation involving critical Hardy–Sobolev exponent in a bounded G-symmetric domain. By using the symmetric criticality principle of Palais and variational method, we establish several existence and multiplicity results of positive G-symmetric solutions under certain appropriate hypotheses on the potential and the nonlinearity. |
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| Keywords: | G-symmetric solution symmetric criticality principle critical Hardy&ndash Sobolev exponent quasilinear elliptic equation |
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