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Global existence for the p-Sobolev flow

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arxiv 2103.15817 v1 pith:65ADN3DD submitted 2021-03-29 math.AP

Tuomo Kuusi , Masashi Misawa , Kenta Nakamura This is my paper · ORCID
classification math.AP
keywords flowp-sobolevexistenceglobalarisingboundedcaseclassical
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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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