Existence of positive solutions to singular \(p\)-Laplacian general Dirichlet boundary value problems with sign changing nonlinearity
type: Item
instance of: scholarly article
title: Existence of positive solutions to singular \(p\)-Laplacian general Dirichlet boundary value problems with sign changing nonlinearity
zbMATH Open document ID: 1168.47059
DOI: 10.1155/2009/512402
author: Qiying Wei
author: You-hui Su
author: Subei Li
author: Xing-Xue Yan
published in: Abstract and Applied Analysis
publication date: 2009-07-02T00:00:00Z
full work available at URL: https://eudml.org/doc/55871
review text: Summary: By using the well-known Schauder fixed point theorem and upper and lower solution method, we present some existence criteria for positive solutions of an \(m\)-point singular \(p\)-Laplacian dynamic equation on time scales with sign changing nonlinearity. These results are new even for the corresponding differential (\(\mathbb T=\mathbb R\)) and difference equations (\(\mathbb T=\mathbb Z\)), as well as in general time scales setting. As an application, an example is given to illustrate the results.
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 26A06
zbMATH DE Number: 5574400
Wikidata QID: Q58646613
MaRDI profile type: Publication
OpenAlex ID: W2021590424
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description: scientific article; zbMATH DE number 5574400