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 …
with Neumann Boundary conditions, which involves a general variable exponent elliptic …
Multiplicity of Solutions for Fractional-Order Differential Equations via the κ(x)-Laplacian Operator and the Genus Theory
HM Srivastava, JV da Costa Sousa - Fractal and Fractional, 2022 - mdpi.com
In this paper, we investigate the existence and multiplicity of solutions for a class of quasi-
linear problems involving fractional differential equations in the χ-fractional space H κ (x) γ …
linear problems involving fractional differential equations in the χ-fractional space H κ (x) γ …
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 …
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
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 …
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
We obtain critical embeddings and the concentration-compactness principle for the
anisotropic variable exponent Sobolev spaces. As an application of these results, we …
anisotropic variable exponent Sobolev spaces. As an application of these results, we …
Existence and multiplicity of solutions for Kirchhoff-type potential systems with variable critical growth exponent
N Chems Eddine - Applicable Analysis, 2023 - Taylor & Francis
In this paper, by using the concentration-compactness principle of Lions for variable
exponents found in [Bonder JF, Silva A. Concentration-compactness principal for variable …
exponents found in [Bonder JF, Silva A. Concentration-compactness principal for variable …
[HTML][HTML] Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent
G Bonanno, A Chinnì - Journal of Mathematical Analysis and Applications, 2014 - Elsevier
Under appropriate growth conditions on the nonlinearity, the existence of multiple solutions
for nonlinear elliptic Dirichlet problems with variable exponent is established. The approach …
for nonlinear elliptic Dirichlet problems with variable exponent is established. The approach …
[HTML][HTML] Existence and multiplicity of solutions for ap (x)-Laplacian equation with critical growth
CO Alves, JLP Barreiro - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
In this work, we study the existence and multiplicity of weak solutions for a class of problems
involving the p (x)-Laplacian operator in a bounded domain, where the nonlinearity has a …
involving the p (x)-Laplacian operator in a bounded domain, where the nonlinearity has a …
The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
K Ho, YH Kim - Advances in Nonlinear Analysis, 2020 - degruyter.com
We obtain a critical imbedding and then, concentration-compactness principles for fractional
Sobolev spaces with variable exponents. As an application of these results, we obtain the …
Sobolev spaces with variable exponents. As an application of these results, we obtain the …
On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications
We obtain critical embeddings and the concentration-compactness principle for the
anisotropic variable exponent Sobolev spaces. As an application of these results, we …
anisotropic variable exponent Sobolev spaces. As an application of these results, we …