Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Sonia Ben Othman"'
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2013, Iss 57, Pp 1-13 (2013)
Let $\Omega $ be a smooth bounded domain in $\mathbb{R}^{n},\ n\geq 2$. This paper deals with the existence and the asymptotic behavior of positive solutions of the following problems \begin{equation*} \Delta u=a(x)u^{\alpha },\alpha >1\text{ and }\D
Externí odkaz:
https://doaj.org/article/952d75f501c04097859783c077d6c3fa
Autor:
Sonia Ben Othman, Habib Maagli
Publikováno v:
Electronic Journal of Differential Equations, Vol 2012, Iss 240,, Pp 1-10 (2012)
We study the existence, uniqueness and asymptotic behavior of positive solutions to the nonlinear problem $$displaylines{ frac{1}{A}(APhi _p(u'))'+q(x)u^{alpha}=0,quad hbox{in }(0,1),cr lim_{xo 0}APhi _p(u')(x)=0,quad u(1)=0, }$$ where $alpha 0, $$ f
Externí odkaz:
https://doaj.org/article/ff09ba56b6444b6180ddc78177479618
Publikováno v:
Journal of Mathematics, Vol 2013 (2013)
Let , we take up the existence, the uniqueness and the asymptotic behavior of a positive continuous solution to the following nonlinear problem in , , , , where , is a positive differentiable function in and is a positive continuous function in such
Externí odkaz:
https://doaj.org/article/dd1dfe6e83e943c78153bf0a60458b97
Publikováno v:
Abstract and Applied Analysis, Vol 2007 (2007)
Here we study the polyharmonic nonlinear elliptic boundary value problem on the unit ball B in ℝn(n≥2)(−△)mu+g(⋅,u)=0, in B (in the sense of distributions) limx→ξ∈∂B(u(x)/(1−|x|2)m−1)=0(ξ). Under appropriate conditions related t
Externí odkaz:
https://doaj.org/article/d9b898fec70d43d6a3907c0b22a78ab5
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2007 (2007)
We study some existence results for the nonlinear equation (1/A)(Au')'=uψ(x,u) for x∈(0,ω) with different boundary conditions, where ω∈(0,∞], A is a continuous function on [0,ω), positive and differentiable on (0,ω), and ψ is a nonnegativ
Externí odkaz:
https://doaj.org/article/0eebf9f17d0b4e82b7a1feb648b939c5
Autor:
Sonia Ben Othman
Publikováno v:
Abstract and Applied Analysis, Vol 2006 (2006)
This paper deals with a class of singular nonlinear polyharmonic equations on the unit ball B in ℝn (n≥2) where the combined effects of a singular and a sublinear term allow us by using the Schauder fixed point theorem to establish an existence r
Externí odkaz:
https://doaj.org/article/42c1fd2b1cfa46178d97856f32cd6df9
Autor:
Sonia Ben Othman, Bilel Khamessi
Publikováno v:
Nonlinear Analysis. 187:307-319
In this paper, we investigate the exact asymptotic behavior of positive solution to the following singular boundary value problem Δ u = b ( x ) f ( u ) , x ∈ Ω , u > 0 in Ω , u | ∂ Ω = + ∞ , where Ω is a C 2 -bounded domain in R N , ( N
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9294005fb3e6712dfd7b0f990dd482e0
https://doi.org/10.1016/j.na.2019.05.001
https://doi.org/10.1016/j.na.2019.05.001
Publikováno v:
Advances in Nonlinear Analysis, Vol 6, Iss 3, Pp 301-315 (2017)
In this article, we take up the existence and the asymptotic behavior of entire bounded positive solutions to the following semilinear elliptic system: -Δu = a 1 a_{1} (x) u α u^{\alpha} v r v^{r} , x ∈ \in ℝ n \mathbb{R}^{n} (n ≥ \geq 3), -
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e658ce3d22fcc2b46a27df0bb831f524
https://doaj.org/article/b2c7f70397dc454cacc3e3460aebc7f0
https://doaj.org/article/b2c7f70397dc454cacc3e3460aebc7f0
Publikováno v:
Advanced Nonlinear Studies. 14:1013-1035
In this paper, we investigate the following quasilinear elliptic system (P) with explosive boundary conditions: Δpu = f1(x, u, v) in Ω; u|∂Ω = +∞, u >0 in Ω, Δqv = f2(x, u, v) in Ω; v|∂Ω = +∞, v >0 in Ω, where Ω is a smooth bounded d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75981a8ecdddea9887235af2ebb95c7c
https://doi.org/10.1515/ans-2014-0411
https://doi.org/10.1515/ans-2014-0411
Autor:
Sonia Ben Othman, Bilel Khamessi
Publikováno v:
Journal of Mathematical Analysis and Applications. 409:925-933
We take up the existence and the asymptotic behavior of a classical solution to the following semilinear Dirichlet problem { − Δ u = a ( x ) g ( u ) , x ∈ Ω , u > 0 in Ω , u | ∂ Ω = 0 , where Ω is a C 1 , 1 -bounded domain in R N , N ≥ 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::092f66fe0a203ea39a990b79c1fc9655
https://doi.org/10.1016/j.jmaa.2013.07.063
https://doi.org/10.1016/j.jmaa.2013.07.063