Symmetry breaking for an elliptic equation involving the Fractional Laplacian

2014/09/25 by De Nápoli, Pablo L. · 1 citation
#35J60 #42B37 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1409.7421

Abstract

We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which might be of independent interest; and from which we derive compact embedding theorems for a Sobolev-type space of radial functions with power weights.

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• A mixed local-nonlocal Hénon problem in ℝ^N

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