Positive weak solutions of a double-phase variable exponent problem with a fractional-Hardy-type singular potential and superlinear nonlinearity
Analysis of PDEs
2026-04-02 v3
Abstract
In the present paper, we study a double-phase variable exponent problem which is set up within a variational framework including a singular potential of fractional-Hardy-type. We employ the Mountain-Pass theorem and the strong minimum principle to obtain the existence of at least one nontrivial positive weak solution.
Cite
@article{arxiv.2601.01346,
title = {Positive weak solutions of a double-phase variable exponent problem with a fractional-Hardy-type singular potential and superlinear nonlinearity},
author = {Mustafa Avci},
journal= {arXiv preprint arXiv:2601.01346},
year = {2026}
}