3 citations · 3 across the 11 of their papers we have counts for
13 papers
Geometric and stochastic framework for a regularized -Laplacian
Mustafa Avci
For a prescribed classical profile and a fixed positive regularization parameter, we construct an Itô diffusion whose interior generator reproduces the regularized -Laplacian…
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…
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…
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…
Stochastic representation of solutions for the parabolic Cauchy problem with variable exponent coefficients
Mustafa Avci
In this work, we prove existence and uniqueness of a bounded viscosity solution for the Cauchy problem of degenerate parabolic equations with variable exponent coefficients. We con…
On the existence, uniqueness and stability of solutions of SDEs with state-dependent variable exponent
Mustafa Avci
We study a time-inhomogeneous nonlinear SDE with drift and diffusion governed by state-dependent variable exponents. This framework generalizes models like the geometric Brownian m…
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…
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…
Existence results for the Cox-Ingersoll-Ross model with variable exponent diffusion
Mustafa Avci
This study proposes a new stochastic model where the diffusion coefficient involves a state-dependent variable exponent function . This new theoretically flexible framewo…
Nehari manifold approach for a singular multi-phase variable exponent problem
Mustafa Avci
This paper is concerned with a singular multi-phase problem with variable singularities. The main tool used is the Nehari manifold approach. Existence of at least two positive solu…
Monotone operator methods for a class of nonlocal multi-phase variable exponent problems
Mustafa Avci
In this paper, we study a class of nonlocal multi-phase variable exponent problems within the framework of a newly introduced Musielak-Orlicz Sobolev space. We consider two problem…
Variational and nonvariational solutions for double phase variable exponent problems
Mustafa Avci
In this article, we examine two double-phase variable exponent problems, each formulated within a distinct framework. The first problem is non-variational, as the nonlinear term ma…
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…