Qualitative properties of stable solutions to some supercritical problems-Reference-Cited by-同舟云学术

Qualitative properties of stable solutions to some supercritical problems

Published:2022 Issue:5 Volume:30 Page:1668-1690
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Liu Yong¹,Wang Kelei²,Wei Juncheng³,Wu Ke⁴

Affiliation:

1. Department of Mathematics, University of Science and Technology of China, Hefei, Anhui Province, 230026, China

2. School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei Province, 430072, China

3. Department of Mathematics, University of British Columbia, Vancouver, B.C., V6T 1Z2, Canada

4. School of Mathematics and Statistics, Xian Jiaotong University, Xian, Shanxi Province, 710049, China

Abstract

<abstract>In this paper, we study symmetry properties of stable solutions to the Lane-Emden equation <disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \Delta u+|u|^{p-1}u = 0\quad{\rm{in}}\quad\mathbb{R}^{n} $\end{document} </tex-math></disp-formula> with $ n\geq 11 $, $ p $ in a suitable range and the Liouville equation <disp-formula> <label/> <tex-math id="FE2"> \begin{document}$ \Delta u+e^{u} = 0\quad{\rm{in}}\quad\mathbb{R}^{n} $\end{document} </tex-math></disp-formula> with $ n = 10 $.</abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference33 articles.

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