Symmetry breaking for an elliptic equation involving the fractional Laplacian
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 theo...
| Publicado: |
2018
|
|---|---|
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v31_n1-2_p75_DeNapoli http://hdl.handle.net/20.500.12110/paper_08934983_v31_n1-2_p75_DeNapoli |
| Aporte de: |
| Sumario: | 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. © 2018 Khayyam Publishing. All rights reserved. |
|---|