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Singular solutions to the Yamabe equation with prescribed asymptotics

Authors :
Yichao Li
Qing Han
Source :
Journal of Differential Equations. 274:127-150
Publication Year :
2021
Publisher :
Elsevier BV, 2021.

Abstract

We study positive solutions of the Yamabe equation with isolated singularity and prove the existence of solutions with prescribed asymptotic expansions near singular points and an arbitrarily high order of approximation.

Subjects

Subjects :
010101 applied mathematics
Applied Mathematics
010102 general mathematics
Mathematical analysis
0101 mathematics
High order
Isolated singularity
01 natural sciences
Analysis
Mathematics

Details

ISSN :
00220396
Volume :
274
Database :
OpenAIRE
Journal :
Journal of Differential Equations
Accession number :
edsair.doi...........63a64035ab7a816a64a8f0221643038c
Full Text :
https://doi.org/10.1016/j.jde.2020.12.006
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