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arXiv · 2103.15817

Global existence for the p-Sobolev flow

Tuomo Kuusi·Masashi Misawa·Kenta Nakamura
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Abstract

In this paper, we study a doubly nonlinear parabolic equation arising from the gradient flow for p-Sobolev type inequality, referred as p-Sobolev flow. In the special case p=2 our theory includes the classical Yamabe flow on a bounded domain in Euclidean space. Our main aim is to prove the global existence of the p-Sobolev flow together with its qualitative properties.

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Tuomo Kuusi, Masashi Misawa, Kenta Nakamura. 2021-03-29. Global existence for the p-Sobolev flow. https://arxiv.org/abs/2103.15817

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