A Liouville theorem for the p-Laplacian and related questions

2017/11/30 by Farina, Alberto, Mercuri, Carlo, Willem, Michel · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1711.11552

Abstract

We prove several classification results for p-Laplacian problems on bounded and unbounded domains, and deal with qualitative properties of sign-changing solutions to p-Laplacian equations on \mathbb R^N involving critical nonlinearities. Moreover, on radial domains we characterise the compactness of possibly sign-changing Palais-Smale sequences.

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