-Laplace equations with singular weights

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• 作者：Kanishka Perera ; Inbo Sim
• 关键词：primary ; 35J75 ; secondary ; 35J20 ; 35J25 ; 35J92
• 刊名：Nonlinear Analysis
• 出版年：April, 2014
• 年：2014
• 卷：99
• 期：Complete
• 页码：167-176
• 全文大小：406 K

文摘

We study a class of -Laplacian Dirichlet problems with weights that are possibly singular on the boundary of the domain, and obtain nontrivial solutions using Morse theory. In the absence of a direct sum decomposition, we use a cohomological local splitting to get an estimate of the critical groups.