A Topological Approach to Singular Double-Phase Equations with Variable Exponents
Analysis of PDEs
2026-02-26 v1
Abstract
In the present paper, we study a singular double phase variable exponent Dirichlet problem in the setting of a new Musielak-Orlicz Sobolev space with the nonlinearity (the external source) having gradient dependence (so-called convection terms). We apply a topological existence result incorporating the Leray-Schauder degree and homotopy mapping together to prove the existence of at least one nontrivial solution.
Cite
@article{arxiv.2602.21576,
title = {A Topological Approach to Singular Double-Phase Equations with Variable Exponents},
author = {Mustafa Avci},
journal= {arXiv preprint arXiv:2602.21576},
year = {2026}
}