Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents

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• 作者：Zhiying Deng (1)
  Yisheng Huang (2)
  
  1. School of Mathematics and Physics ; Chongqing University of Posts and Telecommunications ; Chongqing ; 400065 ; PR China
  2. Department of Mathematics ; Soochow University ; Suzhou ; Jiangsu ; 215006 ; PR China
  
• 关键词：35J25 ; 35J60 ; 35J65 ; G ; symmetric solution ; symmetric criticality principle ; critical Hardy ; Sobolev exponent ; quasilinear elliptic system
• 刊名：Boundary Value Problems
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,435 KB
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• 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1687-2770

文摘

This paper deals with the existence and multiplicity of symmetric solutions for a class of singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents in a bounded symmetric domain. Based upon the symmetric criticality principle of Palais and variational methods, we establish several existence and multiplicity results of G-symmetric solutions under certain appropriate hypotheses on the weighted functions and the parameters.