Calculus of Variations and Geometric Measure Theory

K. Ho - K. Perera - I. Sim - M. Squassina

A note on fractional p-Laplacian problems with singular weights

created by squassina on 18 Mar 2016
modified on 12 Nov 2016

[BibTeX]

Preprint

Inserted: 18 mar 2016
Last Updated: 12 nov 2016

Journal: J. Fixed Point Theory Applications
Year: 2016

Abstract:

We study a class of fractional p-Laplacian problems with weights which are possibly singular on the boundary of the domain. We provide existence and multiplicity results as well as characterizations of critical groups and related applications.

Keywords: Nonlocal operators, critical groups, multiplicity


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