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$p$-Laplace equations with singular weights

Published 4 Oct 2013 in math.AP | (1310.1317v1)

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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Authors (2)

  1. Kanishka Perera 
  2. Inbo Sim 

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