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Nonlinear Analysis

Escobar's Type Theorems for elliptic fully nonlinear equations

Jose Espinar

Location:  Hill 525
Date & time: Wednesday, 21 September 2016 at 1:40PM -

In this talk we prove non-existence and classification results for elliptic fully nonlinear elliptic degenerate and non-degenerate conformal equations on certain subdomains of the sphere with prescribed constant mean curvature along its boundary. Such subdomains are the hemisphere (or a geodesic ball in \(mathbb{S}^m\)), punctured balls and annular domains.

Our results extend those of Escobar when \(mgeq 3\), and Hang-Wang and Jimenez when \(m=2\). This talk is based on joint works with M.P. Cavalcante and D. Abanto.

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

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