On positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters

In this article, we consider the system of differential equations (equations presented) where Ω ⊃ RN is a bounded domain with C2 boundary δΩ, 1< p(x)εC1 (Ω̄) is a function. The operator (equations presented) is called p(x) -Laplacian, λ,λ1,λ2,μ1 and μ2 are positive parameters. We prove the ex...

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Main Authors:	Afrouzi, Ghasem Alizadeh, Shakeri, Saleh, Chung, Nguyen Thanh
Other Authors:	School of Physical and Mathematical Sciences
Format:	Article
Language:	English
Published:	2014
Subjects:	DRNTU::Science::Mathematics::Applied mathematics DRNTU::Science::Physics
Online Access:	https://hdl.handle.net/10356/98608 http://hdl.handle.net/10220/24044 http://www.scientificbulletin.upb.ro/rev_docs_arhiva/full248_490710.pdf
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Institution:	Nanyang Technological University
Language:	English

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spelling	sg-ntu-dr.10356-986082023-02-28T19:31:33Z On positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters Afrouzi, Ghasem Alizadeh Shakeri, Saleh Chung, Nguyen Thanh School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Applied mathematics DRNTU::Science::Physics In this article, we consider the system of differential equations (equations presented) where Ω ⊃ RN is a bounded domain with C2 boundary δΩ, 1< p(x)εC1 (Ω̄) is a function. The operator (equations presented) is called p(x) -Laplacian, λ,λ1,λ2,μ1 and μ2 are positive parameters. We prove the existence of positive solutions when (equations presented) via sub-supersolutions without assuming sign conditions on f (0), g(0), h(0) or τ (0) . Published version 2014-10-15T06:51:58Z 2019-12-06T19:57:30Z 2014-10-15T06:51:58Z 2019-12-06T19:57:30Z 2013 2013 Journal Article Afrouzi, G. A., Shakeri, S., & Chung, N. T. (2013). On positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters. UPB scientific bulletin, series A : applied mathematics and physics, 75(4), 153-164. https://hdl.handle.net/10356/98608 http://hdl.handle.net/10220/24044 http://www.scientificbulletin.upb.ro/rev_docs_arhiva/full248_490710.pdf en UPB scientific bulletin, series A : applied mathematics and physics © 2013 Scientific Bulletin of UPB. This paper was published in UPB Scientific Bulletin, Series A: Applied Mathematics and Physics and is made available as an electronic reprint (preprint) with permission of Scientific Bulletin of UPB. The paper can be found at the following official URL: [http://www.scientificbulletin.upb.ro/rev_docs_arhiva/full248_490710.pdf]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 12 p. application/pdf
institution	Nanyang Technological University
building	NTU Library
continent	Asia
country	Singapore Singapore
content_provider	NTU Library
collection	DR-NTU
language	English
topic	DRNTU::Science::Mathematics::Applied mathematics DRNTU::Science::Physics
spellingShingle	DRNTU::Science::Mathematics::Applied mathematics DRNTU::Science::Physics Afrouzi, Ghasem Alizadeh Shakeri, Saleh Chung, Nguyen Thanh On positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters
description	In this article, we consider the system of differential equations (equations presented) where Ω ⊃ RN is a bounded domain with C2 boundary δΩ, 1< p(x)εC1 (Ω̄) is a function. The operator (equations presented) is called p(x) -Laplacian, λ,λ1,λ2,μ1 and μ2 are positive parameters. We prove the existence of positive solutions when (equations presented) via sub-supersolutions without assuming sign conditions on f (0), g(0), h(0) or τ (0) .
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Afrouzi, Ghasem Alizadeh Shakeri, Saleh Chung, Nguyen Thanh
format	Article
author	Afrouzi, Ghasem Alizadeh Shakeri, Saleh Chung, Nguyen Thanh
author_sort	Afrouzi, Ghasem Alizadeh
title	On positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters
title_short	On positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters
title_full	On positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters
title_fullStr	On positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters
title_full_unstemmed	On positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters
title_sort	on positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters
publishDate	2014
url	https://hdl.handle.net/10356/98608 http://hdl.handle.net/10220/24044 http://www.scientificbulletin.upb.ro/rev_docs_arhiva/full248_490710.pdf
_version_	1759855689357852672

On positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters

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