Finite Morse index solutions of the Hénon Lane–Emden equation-Reference-Cited by-同舟云学术

Finite Morse index solutions of the Hénon Lane–Emden equation

Published:2019-11-06 Issue:1 Volume:2019 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Harrabi Abdellaziz,Zaidi Cherif^ORCID

Abstract

Abstract In this paper, we are concerned with Liouville-type theorems of the Hénon Lane–Emden triharmonic equations in whole space. We prove Liouville-type theorems for solutions belonging to one of the following classes: stable solutions and finite Morse index solutions (whether positive or sign-changing). Our proof is based on a combination of the Pohozaev-type identity, monotonicity formula of solutions and a blowing down sequence.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13660-019-2234-0.pdf

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