arXiv:1310.1317 Abstract | arXiv Analytics

arXiv:1310.1317 [math.AP]Abstract References Reviews Resources

$p$-Laplace equations with singular weights

Published 2013-10-04Version 1

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.

Categories: math.AP

Subjects: 35J75, 35J20, 35J25, 35J92

Keywords: singular weights, laplace equations, laplacian dirichlet problems, direct sum decomposition, nontrivial solutions

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