Finite Morse index solutions of the Hénon Lane–Emden equation

Autor:	Cherif Zaidi, Abdellaziz Harrabi
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Index (economics) Mathematics::Analysis of PDEs Monotonic function Space (mathematics) Morse code Stable or finite Morse index solutions 01 natural sciences law.invention Identity (mathematics) law 0103 physical sciences Discrete Mathematics and Combinatorics Applied mathematics Monotonicity formula 0101 mathematics Lane–Emden equation Mathematics Sequence Applied Mathematics lcsh:Mathematics 010102 general mathematics lcsh:QA1-939 Blowing down sequence Blowing down Liouville-type theorem 010307 mathematical physics Analysis
Zdroj:	Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-29 (2019)
DOI:	10.1186/s13660-019-2234-0
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f9fe7b2535b3caeb1a7f7dfe1cfd286 http://link.springer.com/article/10.1186/s13660-019-2234-0 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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