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arXiv · 1606.07530

Escobar's Type Theorems for elliptic fully nonlinear degenerate equations

D. P. Abanto·J. M. Espinar
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Abstract

In this paper we prove non-existence and classification results for elliptic fully nonlinear elliptic degenerate conformal equations on certain subdomains of the sphere with prescribed constant mean curvature along its boundary. We also consider non-degenerate equations. Such subdomains are the hemisphere (or a geodesic ball in $\mathbb{S}^m$), punctured balls and annular domains. Our results extend those of Escobar in when $m\geq 3$, and Hang-Wang and Jimenez in when $m=2$.

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D. P. Abanto, J. M. Espinar. 2016-06-24. Escobar's Type Theorems for elliptic fully nonlinear degenerate equations. https://arxiv.org/abs/1606.07530

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