arXiv Analytics

Sign in

arXiv:1409.7421 [math.AP]AbstractReferencesReviewsResources

Symmetry breaking for an elliptic equation involving the Fractional Laplacian

Pablo L. De Nápoli

Published 2014-09-25Version 1

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.

Comments: 19 pages
Categories: math.AP, math.FA
Subjects: 35J60, 42B37
Related articles: Most relevant | Search more
arXiv:1207.5985 [math.AP] (Published 2012-07-25)
The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
arXiv:math/0608640 [math.AP] (Published 2006-08-25, updated 2007-02-13)
An extension problem related to the fractional Laplacian
arXiv:1403.3149 [math.AP] (Published 2014-03-13)
Existence, Uniqueness of Positive Solution to a Fractional Laplacians with Singular Nonlinearity

Links

Toolbox