Asymptotic Estimates for Perturbed Scaiar Curvature Equation
We have an idea on the influence of a nonlinear term (tending to 0) on the prescribed scalar curvature equation to have an uniform estimate.
math.AP↗
arXiv subjects
Samy Skander Bahoura
Publications and source records attributed to Samy Skander Bahoura.
A Uniform Estimate for Scalar Curvature Equation on Manifolds of dimension 4
On Riemannian manifolds of dimension 4, for prescribed scalar curvature equation, under lipschitzian condition on the prescribed curvature, we have an uniform estimate for the solutions of the equation if we control their minimas.
math.AP↗
Effet d'une perturbation non lineaire sur l'obtention d'une Estimation Uniforme
To have an uniform estimate for the solutions of the scalar curvature equation perturbed by a non linear term, we give some minimal condition on the scalar curvature.
math.AP↗
sup+inf for Riemannian surfaces and sup*inf for for bounded domains of R^n, n>2
This paper is in relation with a Note of "Comptes Rendus de l'Academie des Sciences" 2005. We have an idea about a lower bounds of sup+inf (2 dimensions) and sup*inf (dimensions >2).
math.AP↗
Inégalités de Harnack et Phénomène de Concentration
We proove some inequalities concerning the product, sup * inf for some elliptic operators of order 2 and 4. Using those inequalities and the concentration phenomena we can describe the asymptotic behavior of those PDE solutions.
math.AP↗
Harnack Inequalities for Yamabe Type Equations
We give some a priori estimates of type sup*inf for Yamabe and prescribed scalar curvature type equations on Riemannian manifolds of dimension >2. The product sup*inf is caracteristic of those equations, like the usual Harnack inequalities for non negative harmonic functions. First, we have a lower bound for sup*inf for some classes of PDE on compact manifolds (like prescribed scalar cuvature). We also have an upper bound for the same product but on any Riemannian manifold not necessarily compact. An application of those result is an uniqueness solution for some PDE.
math.AP↗
Sup-Inf inequality on manifold of dimension 3
We prove an a priori estimate of type sup*inf on Riemannian manifold of dimension 3 (not necessarily compact).
math.AP↗