Back to Search Start Over

The local behavior of positive solutions for higher order equation with isolated singularities.

Authors :
Li, Yimei
Source :
Calculus of Variations & Partial Differential Equations. Dec2021, Vol. 60 Issue 6, p1-19. 19p.
Publication Year :
2021

Abstract

We use blow up analysis for local integral equations to provide a blow up rates of solutions of higher order Hardy–Hénon equation in a bounded domain with an isolated singularity, and show the asymptotic radial symmetry of the solutions near the singularity. This work generalizes the correspondence results of Jin–Xiong (in, Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities. arXiv:1901.01678) on higher order conformally invariant equations with an isolated singularity. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*EQUATIONS
*SYMMETRY

Details

Language :
English
ISSN :
09442669
Volume :
60
Issue :
6
Database :
Academic Search Index
Journal :
Calculus of Variations & Partial Differential Equations
Publication Type :
Academic Journal
Accession number :
152928396
Full Text :
https://doi.org/10.1007/s00526-021-02087-2