Liouville-type theorems and existence results for stable-at-infinity solutions of higher-order \(m\)-polyharmonic problems
type: Item
instance of: scholarly article
title: Liouville-type theorems and existence results for stable-at-infinity solutions of higher-order \(m\)-polyharmonic problems
zbMATH Open document ID: 1471.35073
author: Foued Mtiri
author: A. Harrabi
published in: Journal of Mathematical Analysis and Applications
publication date: 2021-06-14T00:00:00Z
review text: In this paper, the authors study a \(m\)-polyharmonic equation. Under some conditions, the non-existence of nontrivial stable-at-infinity (resp. stable) solutions is proved. Furthermore, under some other conditions, infinitely many finite Morse index solutions are obtained.
reviewed by: Zhijie Chen
Mathematics Subject Classification ID: 35B53
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 35J61
zbMATH DE Number: 7358701
zbMATH Keywords: \(m\)-polyharmonic equations
zbMATH Keywords: infinitely many finite Morse index solutions
Wikidata QID: Q115188955
MaRDI profile type: Publication
full work available at URL: j.jmaa.2021.125225
OpenAlex ID: W3147928450
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DOI: 10.1016/J.JMAA.2021.125225
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description: scientific article; zbMATH DE number 7358701