Liouville theorems for the weighted Lane-Emden equation with finite Morse indices

Author:

Chen Caisheng1ORCID,Wang Hui2

Affiliation:

1. College of Science; Hohai University; Nanjing 210098 China

2. College of Mathematics and Statistics; Yili Normal University; Yining 835000 China

Funder

Fundamental Research Funds for the Central Universities of China

Science Foundation of Xinjiang Uygur Autonomous Region

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference23 articles.

1. Liouville sur “Construction géométrique des amplitudes dans les fonctions elliptiques” par M. Charles;Liouville;Comptes Rendus de l'Académie des Sciences Paris,1844

2. Mémoires sur les fonctions complémentaires;Cauchy;Comptes Rendus de l'Académie des Sciences Paris,1844

3. Global and local behavior of positive solutions of nonlinear elliptic equations;Gidas;Communications on Pure and Applied Mathematics,1981

4. Local behaviour of the solutions of a class of nonlinear elliptic systems;Bidaut-Veron;Advances Differential Equations,2000

5. Liouville-type theorems and bounds of solutions of Hardy-Hénon equations;Phan;Journal Differential Equations,2012

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Liouville type theorems for stable solutions of the weighted fractional Lane-Emden system;Discrete and Continuous Dynamical Systems;2022

2. Liouville-type theorems and existence results for stable solutions to weighted Lane–Emden equations;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2019-01-29

3. Stability and separation property of radial solutions to semilinear elliptic equations;Discrete & Continuous Dynamical Systems - A;2019

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