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20062020
most citedExistence and mutiplicity of solutions to elliptic equations of fourth order on compact manifolds

3 citations · 8 across the 15 of their papers we have counts for

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math.AP2007

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…

math.DG2007

On the second Paneitz-Branson invariant

Mohammed Benalili, Hichem Boughazi

We define the second Paneitz-Branson operator on a compact Einsteinian manifold of dimension and we give sufficient conditions that make it attained.

math.AP2007★ 3 cited

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…