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Simple blow-up solutions of singular Liouville equations.
- Source :
-
Proceedings of the American Mathematical Society . Jan2024, Vol. 152 Issue 1, p345-356. 12p. - Publication Year :
- 2024
-
Abstract
- In a recent series of important works Wei-Zhang [Adv. Math. 380 (2021), Paper No. 107606, 45; Proc. Lond. Math. Soc. (3) 124 (2022), pp. 106–131; Laplacian vanishing theorem for quantized singular Liouville equation , Preprint, arXiv:2202.10825, 2022] proved several vanishing theorems for non-simple blow-up solutions of singular Liouville equations. It is well known that a non-simple blow-up situation happens when the spherical Harnack inequality is violated near a quantized singular source. In this article, we further strengthen the conclusions of Wei-Zhang by proving that if the spherical Harnack inequality does hold, there exist blow-up solutions with non-vanishing coefficient functions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *VANISHING theorems
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 152
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 173310846
- Full Text :
- https://doi.org/10.1090/proc/16639