Generalized critical Kirchhoff-type potential systems with Neumann boundary conditions

N Chems Eddine, MA Ragusa - Applicable Analysis, 2022 - Taylor & Francis
In this paper, we consider a class of quasilinear stationary Kirchhoff type potential systems
with Neumann Boundary conditions, which involves a general variable exponent elliptic …

Multiple Solutions for a Class of Generalized Critical Noncooperative Schrödinger Systems in

N Chems Eddine - Results in Mathematics, 2023 - Springer
In this paper, we investigate the multiplicity of solutions for a class of noncooperative
Schrödinger systems in RN. The systems involves a variable exponent elliptic operators with …

[PDF][PDF] Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrodinger-Kirchhoff-type

NC Eddine, PD Nguyen, MA Ragusa - Math. Methods Appl. Sci, 2023 - iris.unict.it
In recent years, anisotropic partial differential equations have gained attention from several
researchers due to their applicability in various fields of science. For example, in the early …

On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications

NC Eddine, MA Ragusa, DD Repovš - arXiv preprint arXiv:2402.15133, 2024 - arxiv.org
We obtain critical embeddings and the concentration-compactness principle for the
anisotropic variable exponent Sobolev spaces. As an application of these results, we …

On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications

N Chems Eddine, MA Ragusa, DD Repovš - Fractional Calculus and …, 2024 - Springer
We obtain critical embeddings and the concentration-compactness principle for the
anisotropic variable exponent Sobolev spaces. As an application of these results, we …

Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrödinger–Kirchhoff‐type

N Chems Eddine, P Duc Nguyen… - … Methods in the …, 2023 - Wiley Online Library
In this article, we obtain the existence and infinitely many nontrivial solutions for a class of
nonlinear critical anisotropic elliptic equations involving variable exponents and two real …

The Neumann problem for a class of generalized Kirchhoff-type potential systems

N Chems Eddine, DD Repovš - Boundary Value Problems, 2023 - Springer
In this paper, we are concerned with the Neumann problem for a class of quasilinear
stationary Kirchhoff-type potential systems, which involves general variable exponents …

Bounded nonnegative weak solutions to anisotropic parabolic double phase problems with variable growth

H El Bahja - Applicable Analysis, 2023 - Taylor & Francis
We study the homogeneous Dirichlet problem for a class of nonlinear anisotropic parabolic
double phase equations with nonstandard growth conditions. We prove the existence of a …

Generalized noncooperative Schr\"{o}dinger-Kirchhoff-type systems in

NC Eddine, DD Repovš - arXiv preprint arXiv:2402.15139, 2024 - arxiv.org
We consider a class of noncooperative Schr\"{o} dinger-Kirchhoff type system which involves
a general variable exponent elliptic operator with critical growth. Under certain suitable …

Generalized noncooperative Schrödinger–Kirchhoff–type systems in RN R^N

N Chems Eddine, DD Repovš - Mathematische Nachrichten, 2024 - Wiley Online Library
We consider a class of noncooperative Schrödinger–Kirchhof–type system, which involves a
general variable exponent elliptic operator with critical growth. Under certain suitable …