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arXiv · 1607.02285

Removable Singularities of $m$-Hessian Equations

Hülya Car·René Pröpper
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Abstract

In this paper we give a new, less restrictive condition for removability of singular sets, $E$, of smooth solutions to the m-Hessian equation (and also for more general fully nonlinear elliptic equations) in $\Omega \setminus E$, $\Omega \subset \mathbb R^n$. Besides the existence and regularity results for these equations, the proof only makes use of the classical elliptic theory, i.e. the classical maximum principles and a Hopf lemma.

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Hülya Car, René Pröpper. 2016-07-08. Removable Singularities of $m$-Hessian Equations. https://doi.org/10.1007/s00030-016-0429-3

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