3 citations · 8 across the 15 of their papers we have counts for
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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…
On singular Q-curvature type equations
Mohammed Benalili
This paper is devoted to the Q-curvature type equation with singularities; mainly we give existence and regularity results of solutions. To have positive solutions which will be me…
Nodal solutions to quasilinear elliptic equations on compact Riemannian manifolds
Mohammed Benalili
We show the existence of nodal solutions to perturbed quasilinear elliptic equations with critical Sobolev exponent on compact Riemannian manifolds. A nonexistence result is also g…
Existence and mutiplicity of solutions to elliptic equations of fourth order on compact manifolds
Mohammed Benalili
This paper deals with a fourth order elliptic equation on compact Riemannian manifolds.We establish the existence of solutions to the equation with critical Sobolev growth which is…