Global existence for the p-Sobolev flow
| Autor: | Kuusi, Tuomo, Misawa, Masashi, Nakamura, Kenta |
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| Rok vydání: | 2021 |
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| Zdroj: | J. Differential Equations 279 (2021), 245--281 |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: arXiv admin note: text overlap with arXiv:2103.15259 |
| Databáze: | arXiv |
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