Quantization for an evolution equation with critical exponential growth on a closed Riemann surface

Quantization for an evolution equation with critical exponential growth on a closed Riemann surface

In this paper, we analyze the concentration behavior of a positive solution to an evolution equation with critical exponential growth on a closed Riemann surface, and particularly derive an energy identity for such a solution. This extends a result of Lamm-Robert-Struwe and complements that of Yang.

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Veröffentlicht in:Science China. Mathematics 2021-03, Vol.64 (3), p.589-622
1. Verfasser: Zhu, Chaona
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Evolution
Mathematics
Mathematics and Statistics
Riemann surfaces
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Beschreibung
Zusammenfassung:In this paper, we analyze the concentration behavior of a positive solution to an evolution equation with critical exponential growth on a closed Riemann surface, and particularly derive an energy identity for such a solution. This extends a result of Lamm-Robert-Struwe and complements that of Yang.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-018-9453-5