Infinitely many large solutions to a variable order nonlocal singular equation

Article Type

Research Article

Publication Title

Fractional Calculus and Applied Analysis

Abstract

The paper establishes the existence of infinitely many large energy solutions for a nonlocal elliptic problem involving a variable exponent fractional p(·) -Laplacian and a singularity, provided a positive parameter incorporated in the problem is sufficiently small. A variational method can be implemented for an associated problem obtained by truncation related to the singularity. A comparison argument allows one to pass to the original singular problem.

First Page

822

Last Page

839

DOI

10.1007/s13540-022-00039-x

Publication Date

4-1-2022

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