INVESTIGADORES
SALORT Ariel Martin
artículos
Título:
A Pólya–Szegö principle for general fractional Orlicz–Sobolev spaces
Autor/es:
DE NÁPOLI, PABLO; FERNÁNDEZ BONDER, JULIÁN; SALORT, ARIEL
Revista:
Complex Variables and Elliptic Equations
Editorial:
Taylor and Francis Ltd.
Referencias:
Año: 2020 p. 1 - 23
ISSN:
1747-6933
Resumen:
In this article we prove modular and norm Pólya-Szegö inequalities in general fractional Orlicz-Sobolev spaces by using the polarization technique. We introduce a general framework which includes the different definitions of theses spaces in the literature, and we establish some of its basic properties such as the density of smooth functions. As a corollary we prove a Rayleigh-Faber-Krahn type inequality for Dirichlet eigenvalues under nonlocal nonstandard growth operators.
