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arXiv · 1409.7421

Symmetry breaking for an elliptic equation involving the Fractional Laplacian

Pablo L. De Nápoli
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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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Pablo L. De Nápoli. 2014-09-25. Symmetry breaking for an elliptic equation involving the Fractional Laplacian. https://arxiv.org/abs/1409.7421

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