arXiv subjects

Akrem Makni

Publications and source records attributed to Akrem Makni.

2 recordsLinked to original sources

arXiv2018

The Beta- flatness Condition in CR Spheres Multiplicity Results

We give multiplicity results for the problem of prescribing the scalar curvature on Cauchy- Riemann spheres under Beta-flatness condition. To give a lower bound for the number of solutions, we use Bahri methods based on the theory of critical points at infinity and a Poincare-Hopf type formula.

math.DG↗

arXiv2015

Torsional Rigidity on Compact Riemannian Manifolds with lower Ricci Curvature Bounds

In this article we prove a reverse Hölder inequality for the fundamental eigenfunction of the Dirichlet problem on domains of a compact Riemannian manifold with lower Ricci curvature bounds. We also prove an isoperimetric inequality for the torsional ridigity of such domains.

math.DG↗