Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Abdelbaki Selmi"'
Publikováno v:
Advances in Pure and Applied Mathematics. 12:15-29
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e98c1a282fcb2b6e962993903b5a89ad
https://doi.org/10.21494/iste.op.2021.0646
https://doi.org/10.21494/iste.op.2021.0646
Publikováno v:
Acta Applicandae Mathematicae. 170:373-385
This paper is devoted to study the following equation $-\Delta u+\lambda u= |u|^{p-1}u \;\;\text{in}\;\Omega $ , with homogeneous Dirichlet or Neumann boundary conditions where $p>1$ , $\lambda >0$ , $\Omega =\mathbb{R}^{n-k}\times \omega $ , $n\geq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9ef96138ee30865725a690ad904fa81
https://doi.org/10.1007/s10440-020-00337-7
https://doi.org/10.1007/s10440-020-00337-7
Publikováno v:
Communications on Pure & Applied Analysis. 19:2839-2852
In this paper we consider the following semi-linear elliptic problem \begin{document}$ \begin{equation*} -\Delta u+\lambda u = |u|^{p-1}u\quad\mbox{in}\,\, \mathcal{O}, \tag{P} \end{equation*} $\end{document} where \begin{document}$ \mathcal{O} = \ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ead09f604a5c310771700bab0089e01f
https://doi.org/10.3934/cpaa.2020124
https://doi.org/10.3934/cpaa.2020124
Publikováno v:
Complex Variables and Elliptic Equations. 65:1613-1629
In this paper, we deal with the following polyharmonic system in the zero-mass case ( − Δ ) m u = K ( x ) f ( v ) i n R N , ( − Δ ) m v = K ( x ) g ( u ) i n R N , where K is a positive weight func...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cbe704a5d3d138b9e569039d466a57a2
https://doi.org/10.1080/17476933.2019.1679794
https://doi.org/10.1080/17476933.2019.1679794
Publikováno v:
Nonlinear Analysis: Real World Applications. 38:96-112
We consider the solutions of a nonlinear Neumann elliptic equation Δ u = 0 in Ω , ∂ u / ∂ ν = f ( x , u ) on ∂ Ω , where Ω is a bounded open smooth domain in R N , N ≥ 2 and f satisfies super-linear and subcritical growth conditions. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b771565279bc949276564f50f3ecaf7
https://doi.org/10.1016/j.nonrwa.2017.04.012
https://doi.org/10.1016/j.nonrwa.2017.04.012
Publikováno v:
Journal of Differential Equations. 251:2409-2430
In this paper we consider radially symmetric solutions of the nonlinear Dirichlet problem Δ u + f ( | x | , u ) = 0 in Ω , where Ω is a ball in R N , N ⩾ 3 and f satisfies some appropriate assumptions. We prove existence of radially symmetric so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3931538f80030a37fa3af7da1cb3cdc0
https://doi.org/10.1016/j.jde.2011.07.019
https://doi.org/10.1016/j.jde.2011.07.019
Publikováno v:
Manuscripta Mathematica. 137:525-544
We consider here solutions of a nonlinear Neumann elliptic equation Δu + f (x, u) = 0 in Ω, ∂u/∂ν = 0 on ∂Ω, where Ω is a bounded open smooth domain in \({\mathbb{R}^N, N\geq2}\) and f satisfies super-linear and subcritical growth conditio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8a076a2ff3ee60eacbd737039243608
https://doi.org/10.1007/s00229-011-0488-z
https://doi.org/10.1007/s00229-011-0488-z
Autor:
M. Ben Ayed, Abdelbaki Selmi
Publikováno v:
Communications on Pure & Applied Analysis. 9:1705-1722
In this paper, we consider the problem $(Q_\varepsilon)$ : $\Delta ^2 u= u^9 +\varepsilon f(x)$ in $\Omega$, $u=\Delta u=0$ on $\partial\Omega$, where $\Omega$ is a bounded and smooth domain in $R^5$, $\varepsilon$ is a small positive parameter, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4ab80c1c317801b62557c8f7d0f42aa
https://doi.org/10.3934/cpaa.2010.9.1705
https://doi.org/10.3934/cpaa.2010.9.1705
Autor:
Abdelbaki Selmi, Mohamed Ben Ayed
Publikováno v:
Pacific Journal of Mathematics. 242:1-32
We consider the problem Δ 2 u = K(y)|u| 8/(n-4) u in ℝ n with u, Δu → 0 as |y| → ∞, where K is a bounded and continuous function on ℝ n , n ≥ 5. Our aim is to construct infinitely many solutions which concentrate around k points, k ≥
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8e7f52b0267e7236a9b9f0552c79829
https://doi.org/10.2140/pjm.2009.242.1
https://doi.org/10.2140/pjm.2009.242.1
Autor:
Abdelbaki Selmi
Publikováno v:
Advanced Nonlinear Studies. 6:591-616
In this paper, we consider the problem Δ2u = |u|8/(n-4)u + εf(x, u) in Ω, u = Δu = 0 on ∂Ω, where Ω is a bounded and smooth domain in ℝn, n ≥ 6, ε is a small positive parameter, and f is a smooth function. Our main purpose is to construc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::daecd00f35c631063840c083852aad29
https://doi.org/10.1515/ans-2006-0406
https://doi.org/10.1515/ans-2006-0406