Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Mehdi, Khalil El"'
Given a smooth positive function $K$ on the standard sphere $(\mathbb{S}^n,g_0)$, we use Morse theoretical methods and counting index formulae to prove that, under generic conditions on the function $K$, there are arbitrarily many metrics $g$ conform
Externí odkaz:
http://arxiv.org/abs/2407.18622
In this paper, we extend the analysis of the subcritical approximation of the Nirenberg problem on spheres recently conducted in \cite{MM19, MM}. Specifically, we delve into the scenario where the sequence of blowing up solutions exhibits a non-zero
Externí odkaz:
http://arxiv.org/abs/2404.13341
Autor:
Ayed, Mohamed Ben, Mehdi, Khalil El
Publikováno v:
Discrete & Continuous Dynamical Systems: Series A; Jul2024, Vol. 44 Issue 7, p1-23, 23p
Autor:
Mehdi, Khalil El
We study the problem of prescribing the Paneitz curvature on higher dimensional spheres. Particular attention is paid to the blow-up points, i.e. the critical points at infinity of the corresponding variational problem. Using topological tools and a
Externí odkaz:
http://arxiv.org/abs/math/0412106
Autor:
Mehdi, Khalil El
In this paper, we consider a biharmonic equation under the Navier boundary condition and with a nearly critical exponent $(P_\epsilon): \Delta^2u=u^{9-\epsilon}, u>0$ in $\Omega$ and $u=\Delta u=0$ on $\partial\Omega$, where $\Omega$ is a smooth boun
Externí odkaz:
http://arxiv.org/abs/math/0412105
Autor:
Mehdi, Khalil El, Hammami, Mokhless
In this paper we consider the following biharmonic equation with critical exponent $P_\epsilon$ : $\Delta^2 u= Ku^{(n+4)/(n-4)-\epsilon}, u>0$ in $\Omega$ and $u=\Delta u=0$ on $\partial\Omega$, where $\Omega$ is a domain in $R^n$, $n\geq 5$, $\epsil
Externí odkaz:
http://arxiv.org/abs/math/0408352
We consider a Yamabe type problem on a family $A_\epsilon$ of annulus shaped domains of $\R^3$ which becomes "thin" as $\epsilon$ goes to zero. We show that, for any given positive constant $C$, there exists $\epsilon_0$ such that for any $\epsilon <
Externí odkaz:
http://arxiv.org/abs/math/0408238
Autor:
Ayed, Mohamed Ben, Mehdi, Khalil El
This paper is concerned with a biharmonic equation under the Navier boundary condition with nearly critical exponent. We study the asymptotic behavior os solutions which are minimizing for the Sobolev quatient. We show that such solutions concentrate
Externí odkaz:
http://arxiv.org/abs/math/0401061
In this paper, we studu a biharmonic equation under the Navier boundary condition on thin annuli. We show that when the annulus becomes thin, the equation has no solution whose energy is bounded.
Comment: 27 pages
Comment: 27 pages
Externí odkaz:
http://arxiv.org/abs/math/0311321
Autor:
Chtioui, Hichem, Mehdi, Khalil El
This paper is devoted to the prescribed scalar curvature under minimal boundary mean curvature on the standard four dimensional half sphere. Using topological methods from the theory of critical points at infinity, we prove some existence results. Th
Externí odkaz:
http://arxiv.org/abs/math/0306131