New multiplicity results for critical p-Laplacian problems

2021/05/24 by Mercuri, Carlo, Perera, Kanishka
#58E05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35J92 #Secondary 35B33

paper · doi:10.48550/arxiv.2105.11379

Abstract

We prove new multiplicity results for the Brezis-Nirenberg problem for the p-Laplacian. Our proofs are based on a new abstract critical point theorem involving the \mathbb Z₂-cohomological index that requires less compactness than the (PS) condition.

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