Existence and multiplicity of symmetric solutions for the weighted critical quasilinear problems

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This paper deals with the weighted critical quasilinear problem-div|∇u|p-2∇u|x|ap=μ|u|p-2u|x|p(a+1)+Q(x)|u|p∗(a,b)-2u|x|bp∗(a,b)+h(x,u)inΩ,u=0on∂Ω,where Ω⊂RN is a smooth bounded domain, 0∈Ω and Ω is G-symmetric with respect to a subgroup G of O(N),1

论文关键词:G-symmetric solution,Symmetric criticality principle,Critical Hardy–Sobolev exponent,Variational methods

论文评审过程:Available online 22 November 2012.

论文官网地址:https://doi.org/10.1016/j.amc.2012.10.109