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arXiv · 1310.1317

$p$-Laplace equations with singular weights

Kanishka Perera·Inbo Sim
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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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Kanishka Perera, Inbo Sim. 2013-10-04. $p$-Laplace equations with singular weights. https://arxiv.org/abs/1310.1317

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