Z Yücedağ - Advances in Nonlinear Analysis, 2015 - degruyter.com
In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p (x)-Laplacian. The problem is settled in the …
K Ben Ali, A Ghanmi, K Kefi - Journal of Mathematical Physics, 2017 - pubs.aip.org
Using a variational approach combined with the theory of the generalized Lebesgue- Sobolev spaces, we obtain at least one weak solution for a class of p (x)-Kirchhoff singular …
K Kefi, K Saoudi - Advances in Nonlinear Analysis, 2018 - degruyter.com
In the present paper, we investigate the existence of solutions for the following inhomogeneous singular equation involving the p(x)-biharmonic operator:{Δ(| Δ u …
R AYAZOĞLU, S Akbulut… - Turkish Journal of …, 2022 - journals.tubitak.gov.tr
Abstract his paper is concerned with the existence and multiplicity of solutions of a Dirichlet problem for $ p (.) $-Kirchhoff-type equation%\begin {equation*}\left\{\begin {array}{c} M\left …
In this article, we study the existence of nontrivial solutions for the following p(x) Kirchhoff- type problem\!-M\big (\textstyle ∫ _ Ω A (x, ∇ u)\, dx\big) div (a (x, ∇ u))= λ h (x) ∂ F ∂ u (x …
KB Ali, A Ghanmi, K Kefi - Opuscula Mathematica, 2017 - opuscula.agh.edu.pl
Under suitable assumptions, we study the existence of a weak nontrivial solution for the following Steklov problem involving the\(p (x)\)-Laplacian\[\begin {cases}\Delta_ {p (x)} u= a …
M Hsini, N Irzi, K Kefi - Complex Variables and Elliptic Equations, 2020 - Taylor & Francis
This paper is concerned with a weighted Steklov problem involving the p (x)-Laplacian operator in Sobolev spaces with variable exponents− div (ξ (x)|∇ u| p (x)− 2∇ u)+ a (x)| u| p …
R Chammem, A Ghanmi, A Sahbani - Applicable Analysis, 2022 - Taylor & Francis
In this paper, we consider a class of p (x)-Laplacian problems of the form:(− Δ) p (x) u+ a (x)| u| p (x)− 2 u= f (x, u) in Ω,|∇ u| p (x)− 2∂ u∂ v+ b (x)| u| q (x)− 2 u= g (x, u) on∂ Ω, where …
K Kefi - Zeitschrift für Analysis und ihre Anwendungen, 2018 - ems.press
On the Robin Problem with Indefinite Weight in Sobolev Spaces with Variable Exponents Page 1 Zeitschrift für Analysis und ihre Anwendungen c European Mathematical Society Journal of …