A note on fractional p-Laplacian problems with singular weights

Authors: Hồ Ngọc Kỳ (Ky Ho), Inbo Sim, Marco Squassina, Kanishka Perera,

https://doi.org/10.1007/s11784-016-0344-6

Publisher, magazine: ,

Publication year: 2017

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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.

Tags: Fractional p-Laplacian, critical groups, existence, multiplicity