Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Mohamed Ben Chrouda"'
Autor:
Mohamed Ben Chrouda
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2022, Iss 62, Pp 1-17 (2022)
We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the $k$-Hessian operator. We also give some interesting qualitative properties of solutions. We provide
Externí odkaz:
https://doaj.org/article/455876cb182c4447ab5fc508b3affdb9
Autor:
Mohamed Ben Chrouda, Kods Hassine
Publikováno v:
Journal of Elliptic and Parabolic Equations. 8:469-481
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10ac95cb187fb1ef1447166ccb1fd088
https://doi.org/10.1007/s41808-022-00157-w
https://doi.org/10.1007/s41808-022-00157-w
Autor:
Kods Hassine, Mohamed Ben Chrouda
Publikováno v:
Proceedings of the American Mathematical Society. 149:649-660
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f968ac549e6035746d97b96e5a95a7f6
https://doi.org/10.1090/proc/15286
https://doi.org/10.1090/proc/15286
Autor:
Adnan Ben Aziza, Mohamed Ben Chrouda
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 39:1157-1170
We give necessary and sufficient conditions for which the elliptic equation \begin{document}$\Delta u = \rho (x)\Phi (u)\;\;\;\;{\rm{in}}\;\;\;\;{\mathbb{R}^d}\;\;\;(d \ge 3)$ \end{document} has nontrivial bounded solutions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c6b30ec9072a951fd8bf759dc53af5f
https://doi.org/10.3934/dcds.2019049
https://doi.org/10.3934/dcds.2019049
Publikováno v:
Probability and Mathematical Statistics. 38:249-269
Let Δk be the Dunkl Laplacian on ℜd associated with a reflection group W and a multiplicity function k. The purpose of this paper is to establish the existence and the uniqueness of a positive solution on the unit ball B of ℜd to the following b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ccd64b486289c9bbe32da2a441295c5c
https://doi.org/10.19195/0208-4147.38.2.1
https://doi.org/10.19195/0208-4147.38.2.1
Autor:
Mohamed Ben Chrouda
Publikováno v:
Complex Variables and Elliptic Equations. 63:1378-1395
We investigate the existence and nonexistence of positive entire large solutions of a class of semilinear equations involving the fractional Laplacian. Sharp lower and upper bounds of the minimal s...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc0aa6a22ab2822db2f5470ca93614f2
https://doi.org/10.1080/17476933.2017.1370464
https://doi.org/10.1080/17476933.2017.1370464
Nonnegative Entire Bounded Solutions to some Semilinear Equations Involving the Fractional Laplacian
Autor:
Mohamed Ben Chrouda, Mahmoud Ben Fredj
Publikováno v:
Potential Analysis. 48:495-513
We establish necessary and sufficient conditions under which the fractional semilinear elliptic equation $\Delta ^{\frac {\alpha }{2}} u=\rho (x)\,\varphi (u)$ admits nonnegative nontrivial bounded solutions in the whole space $\mathbb {R}^{N}$ .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad1a688aaa9ded04b1b85bd9f46cfde3
https://doi.org/10.1007/s11118-017-9645-7
https://doi.org/10.1007/s11118-017-9645-7
Autor:
Mohamed Ben Chrouda
Publikováno v:
Annales Polonici Mathematici. :1-9
This paper is devoted to the study of the Dirichlet problem associated with the Dunkl Laplaciank. We establish, under some condition on a bounded domain D of R d , the existence of a unique continuous function h on R d such thatkh = 0 on D and h = f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::643e82fb6bd93e3e496e8db2f9532710
https://doi.org/10.4064/ap3751-12-2015
https://doi.org/10.4064/ap3751-12-2015
Autor:
Mohamed Ben Chrouda
Publikováno v:
Mediterranean Journal of Mathematics. 15
We take this opportunity to correct some errors in Theorems 1, 2 and 3 of the original article. We keep the notations given in original article.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e323f22080997ac6d06831ee75dde2b
https://doi.org/10.1007/s00009-017-1045-0
https://doi.org/10.1007/s00009-017-1045-0
Autor:
Mohamed Ben Chrouda
Publikováno v:
Mediterranean Journal of Mathematics. 14
We establish the existence and uniqueness of a positive solution to the Schrodinger equation involving the fractional Laplacian $$\Delta ^{\frac{\alpha }{2}}u=\mu \,u$$ in smooth bounded domains of $$\mathbb {R}^d$$ for a large class of nonnegative p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c57b5f7e194076cb6c7da844ff776d86
https://doi.org/10.1007/s00009-017-0972-0
https://doi.org/10.1007/s00009-017-0972-0