Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Abdellaziz Harrabi"'
Autor:
Abdellaziz Harrabi, Cherif Zaidi
Publikováno v:
Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-29 (2019)
Abstract In this paper, we are concerned with Liouville-type theorems of the Hénon Lane–Emden triharmonic equations in whole space. We prove Liouville-type theorems for solutions belonging to one of the following classes: stable solutions and fini
Externí odkaz:
https://doaj.org/article/38c7367482ce4d90932e0a4a33dd9d23
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-21 (2017)
Abstract Under some assumptions on the nonlinearity f, we will study the nonexistence of nontrivial stable solutions or solutions which are stable outside a compact set of R n $\mathbb {R}^{n}$ for the following semilinear higher-order problem: ( −
Externí odkaz:
https://doaj.org/article/1b053645ca0847d4b834052965a5ad15
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
Autor:
Cherif Zaidi, Abdellaziz Harrabi
Publikováno v:
Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-29 (2019)
In this paper, we are concerned with Liouville-type theorems of the Hénon Lane–Emden triharmonic equations in whole space. We prove Liouville-type theorems for solutions belonging to one of the following classes: stable solutions and finite Morse
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f9fe7b2535b3caeb1a7f7dfe1cfd286
http://link.springer.com/article/10.1186/s13660-019-2234-0
http://link.springer.com/article/10.1186/s13660-019-2234-0
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
Autor:
Abdellaziz Harrabi
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 198:1675-1692
Consider the following polyharmonic equations: $$\begin{aligned} (-\Delta )^r u=f(u)\ \ \ \text{ in }\,\, \mathcal {O},\qquad \qquad (0.1) \end{aligned}$$where $$\mathcal {O}=\mathbb {R}^n$$ or $$\mathcal {O}=\mathbb {R}_+^n$$ with the Dirichlet boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ef6f7a26846a33f62759458f4e86e99
https://doi.org/10.1007/s10231-019-00839-8
https://doi.org/10.1007/s10231-019-00839-8
Publikováno v:
manuscripta mathematica. 159:57-79
In this paper, we establish $$L^{\infty }$$ and $$L^{p}$$ estimates for solutions of some polyharmonic elliptic equations via the Morse index. As far as we know, it seems to be the first time that such explicit estimates are obtained for polyharmonic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52a319d245d60bc5a5d593ab2c093721
https://doi.org/10.1007/s00229-018-1037-9
https://doi.org/10.1007/s00229-018-1037-9
Autor:
Foued Mtiri, Abdellaziz Harrabi
Publikováno v:
Journal of Mathematical Analysis and Applications. 502:125225
We discuss the existence and nonexistence of stable-at-infinity solutions of the m-polyharmonic equation Δ m r u + λ | u | m − 2 u = | u | p − 1 u + β | u | q − 1 u in R N , where m ≥ 2 , N > m r , λ and β are nonnegative real parameters
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26f27e371f2cd61e95a8ce0b14fc4692
https://doi.org/10.1016/j.jmaa.2021.125225
https://doi.org/10.1016/j.jmaa.2021.125225