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Št. zadetkov: 7
On weak solutions for fourth-order problems involving the Leray-Lions type operators
Khaled Kefi, Dušan Repovš, Kamel Saoudi
Izvirni znanstveni članek
Oznake: fourth-order PDE;generalized Sobolev space;Leray-Lions type operator;variable exponent;weak solution;variational method;
We investigate existence and multiplicity of weak solutions for fourth-order problems involving the Leray-Lions type operators in variable exponent spaces and improve a result of Bonanno and Chinnì (2011). We use variational methods and apply a multiplicity theorem of Bonanno and Marano (2010).
Leto: 2021 Vir: Fakulteta za matematiko in fiziko (UL FMF)
On elliptic problems with Choquard term and singular nonlinearity
Debajyoti Choudhuri, Dušan Repovš, Kamel Saoudi
Izvirni znanstveni članek
Oznake: Choquard term;variational method;dual fountain theorem;singular nonlinearity;
Using variational methods, we establish the existence of infinitely many solutions to an elliptic problem driven by a Choquard term and a singular nonlinearity. We further show that if the problem has a positive solution, then it is bounded a.e. in the domain ▫$\Omega$▫ and is Hölder continuous.
Leto: 2023 Vir: Fakulteta za matematiko in fiziko (UL FMF)
ǂA ǂdouble phase problem with a nonlinear boundary condition
Debajyoti Choudhuri, Dušan Repovš, Kamel Saoudi
Izvirni znanstveni članek
Oznake: variable exponent Sobolev space;double phase operator;nonlinear boundary condition;Steklov eigenvalue problem;Robin eigenvalue problem;existence;
In this paper we prove the existence of solutions to a double phase problem with a prescribed nonlinear boundary condition which is nonlinear in nature. The driving nonlinear perturbations obey a suitable condition at the origin and on the boundary. To the best of our knowledge, a double phase measu ...
Leto: 2023 Vir: Pedagoška fakulteta (UL PEF)
Nodal solutions for Neumann systems with gradient dependence
Kamel Saoudi, Eadah Alzahrani, Dušan Repovš
Izvirni znanstveni članek
Oznake: Neumann elliptic systems;gradient dependence;subsolution method;supersolution method;nodal solutions;
We consider the following convective Neumann systems: ▫$\begin{equation*}\left(\mathrm{S}\right)\qquad\left\{\begin{array}{ll}-\Delta_{p_1}u_1+\frac{|\nabla u_1|^{p_1}}{u_1+\delta_1}=f_1(x,u_1,u_2,\nabla u_1,\nabla u_2) \text{in}\;\Omega,\\ -\Delta _{p_2}u_2+\frac{|\nabla u_2|^{p_2}}{u_2+\delta_2}=f ...
Leto: 2024 Vir: Digitalni repozitorij raziskovalnih organizacij Slovenije
Pairs of fixed points for a class of operators on Hilbert spaces
Abdelhak Mokhtari, Kamel Saoudi, Dušan Repovš
Izvirni znanstveni članek
Oznake: Hilbert spaces;potential operators;genus;fixed point theorem;boundary value problem;
In this paper, existence of pairs of solutions is obtained for compact potential operators on Hilbert spaces. An application to a second-order boundary value problem is also given as an illustration of our results.
Leto: 2024 Vir: Digitalni repozitorij raziskovalnih organizacij Slovenije
Nonlocal p-Kirchhoff equations with singular and critical nonlinearity terms
Abdeljabbar Ghanmi, Mouna Kratou, Kamel Saoudi, Dušan Repovš
Izvirni znanstveni članek
Oznake: Kirchhoff problem;nonlocal operator;variational methods;singular nonlinearity;multiplicity results;
The objective of this work is to investigate a nonlocal problem involving singular and critical nonlinearities: ▫$$\begin{cases} ([u]_{s,p}^p)^{\sigma-1}(-\Delta)^s_p u = \frac{\lambda}{u^{\gamma}}+u^{ p_s^{*}-1} & \quad \text{in }\Omega,\\ u>0, & \quad \text{in }\Omega,\\ u=0, & \quad \text{in }\ma ...
Leto: 2023 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Early detection of defects in gear systems using autocorrelation of morlet wavelet transforms
Mouloud Ayad, Kamel Saoudi, Mohamed Rezki, Mourad Benziane, Abderrazak Arabi
Izvirni znanstveni članek
Oznake: autocorrelation;early fault diagnosis;gear systems;vibration analysis;scalograms;morlet wavelet transforms;
In recent days, supervision task of industrial systems is vital and the prediction of damages avoids many problems. If any system' defects are not detected in early stage, this system will continue in degradation and may be causing serious economic loss. In the industrial systems, the defects change ...
Leto: 2022 Vir: Fakulteta za strojništvo (UL FS)
Št. zadetkov: 7
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