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math.AP2026
Positive normalized solutions for a singular regularized -Laplacian Dirichlet problem
Mustafa Avci
We study a singular Dirichlet problem driven by a regularized -Laplacian under a prescribed modular constraint. Using growth and differentiability estimates for the regulariz…
math.AP2026
A Topological Approach to Singular Double-Phase Equations with Variable Exponents
Mustafa Avci
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…
math.AP2026
Positive weak solutions of a double-phase variable exponent problem with a fractional-Hardy-type singular potential and superlinear nonlinearity
Mustafa Avci
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 e…