3 citations · 3 across the 11 of their papers we have counts for
8 papers · 1 filter
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…