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Geometry of level sets of elliptic equations and a conjecture of De Giorgi

Differential Geometry & Geometric Analysis Seminar

Geometry of level sets of elliptic equations and a conjecture of De Giorgi

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Yannick Sire, Universite de Aix-Marseille III
Fine Hall 314

I will describe recent results on the rigidity of level sets of solutions of local and non local elliptic equations on the euclidean space and on riemannian manifolds in connection with a conjecture by De Giorgi.