Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Mohameden Ould Ahmedou"'
In this paper we study the following mean field type equation \begin{equation*} (MF) \qquad -\D_g u \, = \varrho ( \frac{K e^{u}}{\int_{\Sig} K e^{u} dV_g} \, - \, 1) \, \mbox{ in } \Sigma, \end{equation*} where $(\Sigma, g)$ is a closed oriented sur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b91b7ac2cc7cc30ee71d3c8dd5781e74
http://arxiv.org/abs/2101.12611
http://arxiv.org/abs/2101.12611
In this paper we study the Nirenberg problem on standard half spheres$$(\mathbb {S}^n_+,g), \, n \ge 5$$(S+n,g),n≥5, which consists of finding conformal metrics of prescribed scalar curvature and zero boundary mean curvature on the boundary. This p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d669ed4b9e1683a7d05807c234576a6
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 37:1789-1818
We consider the following mean field type equations on domains of \begin{document}$\mathbb R^2$\end{document} under Dirichlet boundary conditions: \begin{document}$\left\{ \begin{array}{l} - \Delta u = \varrho \frac{{K {e^u}}}{{\int_\Omega {K {e^u}}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44ac1ca261ecb35a421c50b132768a5c
https://doi.org/10.3934/dcds.2017075
https://doi.org/10.3934/dcds.2017075
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
Publikováno v:
Differential Geometry and its Applications. 28(3):264-281
We consider the existence of contact forms of prescribed Webster scalar curvature on a (2n+1)-dimensional CR compact manifold locally conformally CR equivalent to the standard unit sphere S2n+1 of Cn+1. We give some existence results, using dynamical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44f29c0006112164ac4061a0de8ba81e
Publikováno v:
Journal of Functional Analysis. 258(9):3165-3194
In this article we consider the following fourth order mean field equation on smooth domain Ω⋐R4:Δ2u=ϱKeu∫ΩKeuin Ω,u=Δu=0on ∂Ω, where ϱ∈R and 0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::514b92f3cef9ccd57838f7e0d97423a9
Publikováno v:
Annals of Global Analysis and Geometry. 36:327-362
We provide a variety of classes of functions that can be realized as the mean curvature on the boundary of the standard n dimensional ball, n ≥ 3, with respect to some scalar flat metric. Because of the presence of some critical nonlinearity, blow
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c6b76caade8ecc0865293c639d5217a
https://doi.org/10.1007/s10455-009-9157-9
https://doi.org/10.1007/s10455-009-9157-9
Publikováno v:
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :609-634
In this paper, we consider the problem of multiplicity of conformal metrics of prescribed scalar curvature on standard spheres S 3 , S 4 . Under generic conditions we establish some Morse Inequalities at Infinity, which give a lower bound on the numb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02b3b03832a4aef08b34b52c90d9bb80
https://doi.org/10.2422/2036-2145.2008.4.02
https://doi.org/10.2422/2036-2145.2008.4.02
Autor:
M. Ben Ayed, Mohameden Ould Ahmedou
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 23:655-683
We consider the existence and multiplicity of riemannian metrics of prescribed mean curvature and zero boundary mean curvature on the three dimensional half sphere $(S^3_+,g_c)$ endowed with its standard metric $g_c$. Due to Kazdan-Warner type obstru
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b6b6efa33fa9543cbf4bf1826703250a
https://doi.org/10.3934/dcds.2009.23.655
https://doi.org/10.3934/dcds.2009.23.655
Publikováno v:
Annales de l'Institut Henri Poincare (C) Non Linear Analysis. 25(5):847-864
The Paneitz operator is a fourth order differential operator which arises in conformal geometry and satisfies a certain covariance property. Associated to it is a fourth order curvature – the Q -curvature. We prove the existence of a continuum of c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::959a6b34ca1b0ac05063ad6710e13c56