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2012 Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem
Li Wei, Liling Duan, Haiyun Zhou
Abstr. Appl. Anal. 2012: 1-18 (2012). DOI: 10.1155/2012/154307

Abstract

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 L p ( Ω ) of the generalized Capillarity equation with nonlinear Neumann boundary value conditions, where 2 N / ( N + 1 ) < p < + and N 1 denotes the dimension of R N , 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.

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Li Wei. Liling Duan. Haiyun Zhou. "Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem." Abstr. Appl. Anal. 2012 1 - 18, 2012. https://doi.org/10.1155/2012/154307

Information

Published: 2012
First available in Project Euclid: 7 May 2014

zbMATH: 1311.47105
MathSciNet: MR3004932
Digital Object Identifier: 10.1155/2012/154307

Rights: Copyright © 2012 Hindawi

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