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- Title
A Weighted Flow related to a Trudinger-Moser Functional on Closed Riemann Surface.
- Authors
Yu, Peng Xiu
- Abstract
In this paper, with (Σ, g) being a closed Riemann surface, we analyze the possible concentration behavior of a heat flow related to the Trudinger-Moser energy. We obtain a long time existence for the flow. And along some sequence of times tk → + ∞, we can deduce the convergence of the flow in H2(Σ). Furthermore, the limit function is a critical point of the Trudinger-Moser functional under certain constraint.
- Subjects
RIEMANN surfaces
- Publication
Acta Mathematica Sinica, 2024, Vol 40, Issue 9, p2244
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-024-2447-0