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math.AP2025
On the geometric Brownian motion with state-dependent variable exponent diffusion term
Mustafa Avci
We propose a new stochastic model involving state-dependent variable exponent which allows modeling of systems where noise intensity adapts to the current state. This ne…
math.AP2025
Three solutions for a double phase variable exponent Kirchhoff problem
Mustafa Avci
In this article, we study a double-phase variable-exponent Kirchhoff problem and show the existence of at least three solutions. The proposed model, as a generalization of the Kirc…
math.AP2024★ 3 cited
Positive Ground State Solutions to a Nonlocal Singular Elliptic Problem
Mustafa Avci
In the present paper, we study the existence and uniqueness of solutions to some nonlocal singular elliptic problem under Dirichlet boundary condition. Problem is settled in Musiel…