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Non-existence of positive solutions to nonlocal Lane-Emden equations
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2020-08-01 , DOI: 10.1016/j.jmaa.2020.124067
Xiaohuan Wang , Jihui Zhang

Abstract This paper is concerned with non-existence of positive solutions to nonlocal Lane-Emden equations. Firstly, we establish the “Fujita index” for nonlocal reaction-diffusion equations, which is new in the blowup theory. Then the non-existence of positive solutions to nonlocal Lane-Emden equations is obtained because they are the limit (stationary) equations to the corresponding nonlocal reaction-diffusion equations.

中文翻译:

非局部 Lane-Emden 方程的正解不存在

摘要 本文关注的是非局部 Lane-Emden 方程的正解不存在。首先,我们建立了非局部反应扩散方程的“Fujita 指数”,这是爆破理论中的新内容。然后获得非局部 Lane-Emden 方程的正解不存在,因为它们是相应的非局部反应扩散方程的极限(平稳)方程。
更新日期:2020-08-01
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