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arXiv · 2602.21576

A Topological Approach to Singular Double-Phase Equations with Variable Exponents

Mustafa Avci
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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.

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Mustafa Avci. 2026-02-25. A Topological Approach to Singular Double-Phase Equations with Variable Exponents. https://arxiv.org/abs/2602.21576

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