INVESTIGADORES
SALORT Ariel Martin
artículos
Título:
Maximum principles, Liouville theorem and symmetry results for the fractional g-Laplacian
Autor/es:
MOLINA, SANDRA; SALORT, ARIEL; VIVAS, HERNÁN
Revista:
JOURNAL OF NONLINEAR ANALYSIS
Editorial:
PERGAMON-ELSEVIER SCIENCE LTD
Referencias:
Año: 2021 vol. 212
ISSN:
0362-546X
Resumen:
We study different maximum principles for non-local non-linear operators with non-standard growth that arise naturally in the context of fractional Orlicz?Sobolev spaces and whose most notable representative is the fractional g-Laplacian: [Formula presented] being g the derivative of a Young function. We further derive qualitative properties of solutions such as a Liouville type theorem and symmetry results and present several possible extensions and some interesting open questions. These are the first results of this type proved in this setting.
