Three solutions theorem for \(p\)-Laplacian problems with a singular weight and its application
type: Item
instance of: scholarly article
title: Three solutions theorem for \(p\)-Laplacian problems with a singular weight and its application
zbMATH Open document ID: 1470.34070
DOI: 10.1155/2014/502756
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We prove Amann type three solutions theorem for one dimensional \(p\)-Laplacian problems with a singular weight function. To prove this theorem, we define a strong upper and lower solutions and compute the Leray-Schauder degree on a newly established weighted solution space. As an application, we consider the combustion model and show the existence of three positive radial solutions on an exterior domain.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 7022499
Wikidata QID: Q59038840
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/502756
OpenAlex ID: W1968349131
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description: scientific article; zbMATH DE number 7022499