$p$-Laplacian problems involving critical Hardy-Sobolev exponents

Kanishka Perera; Wenming Zou

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arXiv · 1609.01804

$p$-Laplacian problems involving critical Hardy-Sobolev exponents

Kanishka Perera·Wenming Zou

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Abstract

We prove existence, multiplicity, and bifurcation results for $p$-Laplacian problems involving critical Hardy-Sobolev exponents. Our results are mainly for the case $λ\ge λ_1$ and extend results in the literature for $0 < λ< λ_1$. In the absence of a direct sum decomposition, we use critical point theorems based on a cohomological index and a related pseudo-index.

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Kanishka Perera, Wenming Zou. 2016-09-07. $p$-Laplacian problems involving critical Hardy-Sobolev exponents. https://arxiv.org/abs/1609.01804

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