On nonlocal fractional Laplacian problems with oscillating potentials
type: Item
instance of: scholarly article
title: On nonlocal fractional Laplacian problems with oscillating potentials
zbMATH Open document ID: 1405.35063
DOI: 10.1216/RMJ-2018-48-5-1399
author: Vincenzo Ambrosio
author: L. D'Onofrio
author: Giovanni Molica Bisci
published in: Rocky Mountain Journal of Mathematics
publication date: 2018-10-19T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rmjm/1539936029
review text: This paper deals with the study of a class of nonlocal fractional problems. A feature of this paper is the presence of a potential with oscillatory behaviour either near the origin or at infinity. The main result establishes a sufficient condition for the existence of infinitely many solutions. The proof combines variational and topological arguments.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 6958785
zbMATH Keywords: \(p\)-fractional Laplacian operator
zbMATH Keywords: infinitely many solutions
zbMATH Keywords: variational methods
MaRDI profile type: Publication
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Wikidata QID: Q129066719
description: scientific article; zbMATH DE number 6958785