p-Laplace equations with singular weights

2013/10/04 by Kanishka Perera, Perera, Kanishka, Inbo Sim +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP #msc:35J20 #msc:35J25 #msc:35J75 #msc:35J92

paper · pdf · doi:10.48550/arxiv.1310.1317

arxiv created 2013/10/04 · arxiv updated 2013/10/07

Abstract

We study a class of p-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.

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