Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem

By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta (1978), the abstract result on the existence and uniqueness of the solution in Lp(Ω) of the generalized Capillarity equation with nonlinear Neumann boundary value conditions, where 2N/(N+1)<p...

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Main Authors:	Li Wei, Liling Duan, Haiyun Zhou
Format:	Article
Language:	English
Published:	Hindawi Limited 2012-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2012/154307

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spelling	doaj-223432e1e6554b92884ed14ea10242322020-11-24T23:04:19ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/154307154307Study on the Existence and Uniqueness of Solution of Generalized Capillarity ProblemLi Wei0Liling Duan1Haiyun Zhou2School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, ChinaSchool of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, ChinaInstitute of Applied Mathematics and Mechanics, Ordnance Engineering College, Shijiazhuang 050003, ChinaBy using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta (1978), the abstract result on the existence and uniqueness of the solution in Lp(Ω) of the generalized Capillarity equation with nonlinear Neumann boundary value conditions, where 2N/(N+1)<p<+∞ and N≥1 denotes the dimension of RN, is studied. The equation discussed in this paper and the methods here are a continuation of and a complement to the previous corresponding results. To obtain the results, some new techniques are used in this paper.http://dx.doi.org/10.1155/2012/154307
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Li Wei Liling Duan Haiyun Zhou
spellingShingle	Li Wei Liling Duan Haiyun Zhou Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem Abstract and Applied Analysis
author_facet	Li Wei Liling Duan Haiyun Zhou
author_sort	Li Wei
title	Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem
title_short	Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem
title_full	Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem
title_fullStr	Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem
title_full_unstemmed	Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem
title_sort	study on the existence and uniqueness of solution of generalized capillarity problem
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2012-01-01
description	By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta (1978), the abstract result on the existence and uniqueness of the solution in Lp(Ω) of the generalized Capillarity equation with nonlinear Neumann boundary value conditions, where 2N/(N+1)<p<+∞ and N≥1 denotes the dimension of RN, is studied. The equation discussed in this paper and the methods here are a continuation of and a complement to the previous corresponding results. To obtain the results, some new techniques are used in this paper.
url	http://dx.doi.org/10.1155/2012/154307
work_keys_str_mv	AT liwei studyontheexistenceanduniquenessofsolutionofgeneralizedcapillarityproblem AT lilingduan studyontheexistenceanduniquenessofsolutionofgeneralizedcapillarityproblem AT haiyunzhou studyontheexistenceanduniquenessofsolutionofgeneralizedcapillarityproblem
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Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem

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