IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Symmetry breaking for an elliptic equation involving the fractional Laplacian.
Autor/es:
AMSTER, PABLO
Revista:
DIFFERENTIAL AND INTEGRAL EQUATIONS
Editorial:
Khayyam Publishing, Inc.
Referencias:
Lugar: West Palm Beach; Año: 2018 vol. 31 p. 75 - 94
ISSN:
0893-4983
Resumen:
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.
