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arXiv · 1912.07862

Minimum principles and a priori estimates for some translating soliton type problems

Cristian Enache·Rafael López
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Abstract

In this paper we are dealing with two classes of mean curvature type problems that generalize the translating soliton problem. A first result proves that the solutions to these problems have unique interior critical points. Using this uniqueness result, we next derive a priori $C^0$ and $C^1$ estimates for the solutions to these problems, by means of some minimum principles for appropriate $P$-functions, in the sense of L.E. Payne.

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Cristian Enache, Rafael López. 2019-12-17. Minimum principles and a priori estimates for some translating soliton type problems. https://arxiv.org/abs/1912.07862

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