On a class of critical N-Laplacian problems

2021/11/23 by Ho, Tsz Chung, Perera, Kanishka
#35B38 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35J92 #Secondary 35B33

paper · doi:10.48550/arxiv.2111.11611

Abstract

We establish some existence results for a class of critical N-Laplacian problems in a bounded domain in \mathbb R^N. In the absence of a suitable direct sum decomposition, we use an abstract linking theorem based on the \mathbb Z₂-cohomological index to obtain a nontrivial critical point.

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