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Št. zadetkov: 5
Existence of solutions for systems arising in electromagnetism
Mohamed Karim Hamdani, Dušan Repovš
Izvirni znanstveni članek
Oznake: variable exponent;p(x)-curl system;Palais Smale compactness condition;Fountain theorem;Dual Fountain theorem;existence of solutions;multiplicity of solutions;electromagnetism;
In this paper, we study the following ▫$p(x)$▫-curl systems: ▫$$\begin{cases} \nabla \times (|\nabla \times \mathbf{u}|^{p(x)-2}\nabla \times \mathbf{u}) + a(x)|\mathbf{u}|^{p(x)-2}\mathbf{u} = \lambda f(x, \mathbf{u}) + \mu g(x, \mathbf{u}), \quad \nabla \cdot \mathbf{u} & \text{in} \; \Omega, \\ | ...
Leto: 2020 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Existence and multiplicity results for a new p(x)-Kirchhoff problem
Mohamed Karim Hamdani, Abdellaziz Harrabi, Foued Mtiri, Dušan Repovš
Izvirni znanstveni članek
Oznake: variable exponent;nonlocal Kirchhoff equation;p(x)-Laplacian operator;Palais-Smale condition;Mountain Pass theorem;Fountain theorem;
In this work, we study the existence and multiplicity results for the following nonlocal-Kirchhoff problem: ▫$$\begin{cases} -\big(a-b \int_\Omega \frac{1}{p(x}|\nabla u|^{p(x)} dx \big) \; \text{div} (|\nabla u|^{p(x)-2} \nabla u) = \\ = \lambda |u|^{p(x)-2}u + g(x,u) & \text{in} \; \Omega \\ u=0 & ...
Leto: 2020 Vir: Fakulteta za matematiko in fiziko (UL FMF)
New class of sixth-order nonhomogeneous p(x)-Kirchhoff problems with sign-changing weight functions
Mohamed Karim Hamdani, Nguyen Thanh Chung, Dušan Repovš
Izvirni znanstveni članek
Oznake: variable exponents;Kirchhoff type problems;p(x)-triharmonic operator;sign-changing functions;concave-convex terms;Ekeland's variational principle;multiple solutions;
In this paper, we prove the existence of multiple solutions for the following sixth-order ▫$p(x)$▫-Kirchhoff-type problem ▫$$\begin{cases} -M\left( \int\limits_{\it \Omega} \frac{1}{p(x)}|\nabla {\it\Delta} u|^{p(x)}dx\right){\it\Delta}^3_{p(x)} u = \lambda f(x)|u|^{q(x)-2}u + g(x)|u|^{r(x)-2}u + h( ...
Leto: 2021 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Multiplicity of solutions for a class of fractional p(x, [cdot])-Kirchhoff-type problems without the Ambrosetti-Rabinowitz condition
Mohamed Karim Hamdani, Jiabin Zuo, Nguyen Thanh Chung, Dušan Repovš
Izvirni znanstveni članek
Oznake: fractional ▫$p(x,\cdot)$▫-Kirchhoff-type problems;▫$p(x,\cdot)$▫-fractional Laplace operator;Ambrosetti-Rabinowitz type conditions;symmetric mountain pass theorem;Cerami compactness condition;fractional Sobolev spaces with variable exponent;multiplicity of solutions;
We are interested in the existence of solutions for the following fractional ▫$p(x,\cdot)$▫-Kirchhoff-type problem: ▫$$\textstyle\begin{cases} M ( \int _{\Omega \times \Omega } {\frac{ \vert u(x)-u(y) \vert ^{p(x,y)}}{p(x,y) \vert x-y \vert ^{N+p(x,y)s}}} \,dx \,dy )(-\Delta )^{s}_{p(x,\cdot )}u = f ...
Leto: 2020 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Existence and multiplicity of solutions involving the p(x)-Laplacian equations: On the effect of two nonlocal terms
Mohamed Karim Hamdani, Lamine Mbarki, Mostafa Allaoui, Omar Darhouche, Dušan Repovš
Izvirni znanstveni članek
Oznake: p(x)-Laplacian operator;variational methods;Kirchhoff problem;bi-nonlocal;Ambrosetti-Rabinowitz condition;
We study a class of ▫$p(x)$▫-Kirchhoff problems which is seldom studied because the nonlinearity has nonstandard growth and contains a bi-nonlocal term. Based on variational methods, especially the Mountain pass theorem and Ekeland's variational principle, we obtain the existence of two nontrivial s ...
Leto: 2023 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 5
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