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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/154307 |
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| _version_ | 1832549841439293440 |
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| author | Li Wei Liling Duan Haiyun Zhou |
| author_facet | Li Wei Liling Duan Haiyun Zhou |
| author_sort | Li Wei |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-223432e1e6554b92884ed14ea1024232 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-223432e1e6554b92884ed14ea10242322025-02-03T06:08:21ZengWileyAbstract 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 |
| spellingShingle | Li Wei Liling Duan Haiyun Zhou Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem Abstract and Applied Analysis |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2012/154307 |
| work_keys_str_mv | AT liwei studyontheexistenceanduniquenessofsolutionofgeneralizedcapillarityproblem AT lilingduan studyontheexistenceanduniquenessofsolutionofgeneralizedcapillarityproblem AT haiyunzhou studyontheexistenceanduniquenessofsolutionofgeneralizedcapillarityproblem |