3 citations · 8 across the 15 of their papers we have counts for
20 papers
Variational properties of -curvature for closed submanifolds of arbitrary codimension in Riemannian manifolds
Mohammed Benalili
The objet of this paper is the study of variations of a functional whose integrant is the -curvature of closed submanifolds of arbitrary codimension in Riemannian manifolds.
Some integral formulae on weighted manifolds
Mohammed Abdelmalek, Mohammed Benalili
Introducing a notion of the weighted mean sigma-r curvature and using the weighted Newton transformations we derive in this paper some integral formulae on weighted manifolds. Thes…
Some variational properties of the weighted σ_{r}-curvature for submanifolds in Riemannian manifolds
Mohammed Benalili
The objet of this paper is the study of the variations of a functional whose integrant is the r-th weighted curvature on the hypersurface of a closed Riemannian manifold. Some appl…
Nodal solutions for elliptic equation involving the GJMS operators on compact manifolds
Mohamed Bekiri, Mohammed Benalili
In this paper we investigate the existence of nodal solutions to elliptic problem involving the GJMS operators on Riemannian manifold with boundary
Nodal solutions for fourth order elliptic equations with critical exponent on compact manifolds
Mohamed Bekiri, Mohammed Benalili
Using a variational method we prove the existence of nodal solutions to prescribed scalar Q- curvature type equations on compact Riemannian manifolds with boundary; these equations…
Singular elliptic equation involving the GJMS operator on the standard unit sphere
Mohammed Benalili, Ali Zouaoui
Given a Riemannian compact manifold (M,g) of dimension n>4, we have proven in [1] under some conditions that the equation : Pg(u) = Bu +Au2+Cu (1) where Pg is the GJMS-operator, n…