Existence and Multiplicity of Solutions for Semipositone Problems Involving p-Laplacian

We prove existence and multiplicity of positive solutions for semipositone problems involving p-Laplacian in a bounded smooth domain of ℝN under the cases of sublinear and superlinear nonlinearities term.

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Main Authors: Guowei Dai, Chunfeng Yang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/595429
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author Guowei Dai
Chunfeng Yang
author_facet Guowei Dai
Chunfeng Yang
author_sort Guowei Dai
collection DOAJ
description We prove existence and multiplicity of positive solutions for semipositone problems involving p-Laplacian in a bounded smooth domain of ℝN under the cases of sublinear and superlinear nonlinearities term.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-21f53bb4765c4d25b8b9f728318e5a8a2025-02-03T05:45:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/595429595429Existence and Multiplicity of Solutions for Semipositone Problems Involving p-LaplacianGuowei Dai0Chunfeng Yang1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaWe prove existence and multiplicity of positive solutions for semipositone problems involving p-Laplacian in a bounded smooth domain of ℝN under the cases of sublinear and superlinear nonlinearities term.http://dx.doi.org/10.1155/2012/595429
spellingShingle Guowei Dai
Chunfeng Yang
Existence and Multiplicity of Solutions for Semipositone Problems Involving p-Laplacian
International Journal of Mathematics and Mathematical Sciences
title Existence and Multiplicity of Solutions for Semipositone Problems Involving p-Laplacian
title_full Existence and Multiplicity of Solutions for Semipositone Problems Involving p-Laplacian
title_fullStr Existence and Multiplicity of Solutions for Semipositone Problems Involving p-Laplacian
title_full_unstemmed Existence and Multiplicity of Solutions for Semipositone Problems Involving p-Laplacian
title_short Existence and Multiplicity of Solutions for Semipositone Problems Involving p-Laplacian
title_sort existence and multiplicity of solutions for semipositone problems involving p laplacian
url http://dx.doi.org/10.1155/2012/595429
work_keys_str_mv AT guoweidai existenceandmultiplicityofsolutionsforsemipositoneproblemsinvolvingplaplacian
AT chunfengyang existenceandmultiplicityofsolutionsforsemipositoneproblemsinvolvingplaplacian