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math.AP2016
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…
math.AP2016
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…