Zobrazeno 1 - 10
of 160
pro vyhledávání: '"Saoudi, Kamel"'
Publikováno v:
Bound. Value Probl. 2024 (2024), art. 4, 19 pp
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 _{
Externí odkaz:
http://arxiv.org/abs/2401.01213
Publikováno v:
Asymptot. Anal. 133:1-2 (2023), 255-266
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 t
Externí odkaz:
http://arxiv.org/abs/2305.03974
Autor:
Moussaoui, Abdelkrim, Saoudi, Kamel
Existence of nodal (i.e., sign changing) solutions and constant sign solutions for quasilinear elliptic equations involving convection-absorption terms are presented. A location principle for nodal solutions is obtained by means of constant sign solu
Externí odkaz:
http://arxiv.org/abs/2304.00647
Autor:
MOKHTARI, ABDELHAK1,2 abdelhak.mokhtari@univ-msila.dz, SAOUDI, KAMEL3,4 kmsaoudi@iau.edu.sa, REPOVš, DUšSAN D.5,6,7 dusan.repovs@guest.arnes.si
Publikováno v:
Fixed Point Theory. 2024, Vol. 25 Issue 2, p667-676. 10p.
Autor:
Repovš, Dušan D., Saoudi, Kamel
Publikováno v:
Complex Var. Elliptic Equ. 68:1 (2023),135-149
We study the following singular problem involving the p$(x)$-Laplace operator $\Delta_{p(x)}u= div(|\nabla u|^{p(x)-2}\nabla u)$, where $p(x)$ is a nonconstant continuous function, \begin{equation} \nonumber {{(\rm P_\lambda)}} \left\{\begin{aligned}
Externí odkaz:
http://arxiv.org/abs/2110.05012
In this article, we prove the existence of solutions to a nonlinear nonlocal elliptic problem with a singualrity and a discontinuous critical nonlinearity which is given as follows. \begin{align} \begin{split}\label{main_prob} (-\Delta)_p^su&=\mu g(x
Externí odkaz:
http://arxiv.org/abs/2103.07716
The purpose of this paper is to study nonlinear singular parabolic equations with $p(x)$- Laplacian. Precisely, we consider the following problem and discuss the existence of a non-negative weak solution. \begin{align*} \frac{\partial u}{\partial t}-
Externí odkaz:
http://arxiv.org/abs/2011.05573
This article concerns about the existence of a positive SOLA (Solutions Obtained as Limits of Approximations) for the following singular critical Choquard problem involving fractional power of Laplacian and a critical Hardy potential.
Externí odkaz:
http://arxiv.org/abs/2006.03482
In this paper we study the existence of multiple nontrivial positive weak solutions to the following system of problems. \begin{align*} \begin{split} -\Delta_{p}u-\Delta_q u &= \lambda f(x)|u|^{r-2}u+\nu\frac{1-\alpha}{2-\alpha-\beta}h(x) |u|^{-\alph
Externí odkaz:
http://arxiv.org/abs/2005.05167
Publikováno v:
Dynamics of Partial Differential Equations (2020), Volume 17, Issue 2, pp. 97-115
In this paper we study the existence of a least energy sign-changing solution to a nonlocal elliptic PDE involving singularity by using the Nehari manifold method, the constraint variational method and Brouwer degree theory.
Externí odkaz:
http://arxiv.org/abs/1906.02225