Nontrivial solutions for some singular critical growth semilinear elliptic equations

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• 作者：Xiaoming He ; Wenming Zou
• 关键词：Singular elliptic equation ; Hardy– ; Sobolev critical exponent ; Nontrivial solutions ; Variational method
• 刊名：Nonlinear Analysis
• 出版年：2008
• 期刊代码：43_0362546x
• 类别：mt
• 出版时间：15 June 2008
• 卷：68
• 期：12
• 页码：3719-3732
• 文件大小：350 K

摘要

Let Ω be a bounded domain in pan class="inlMMLBox">pan> with smooth boundary ∂Ω and the origin pan class="inlMMLBox">pan> is a bounded positive function on pan class="inlMMLBox">pan>. We prove the existence results for nontrivial solutions to the Dirichlet problem pan class="inlMMLBox">pan> in Ω,u=0 on ∂Ω, for suitable numbers μ and λ.