Study on the existence and uniqueness of solution of generalized capillarity problem
type: Item
instance of: scholarly article
title: Study on the existence and uniqueness of solution of generalized capillarity problem
zbMATH Open document ID: 1311.47105
DOI: 10.1155/2012/154307
author: Li Wei
author: Liling Duan
author: Haiyun Zhou
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: By using the perturbation theories on sums of ranges of nonlinear accretive mappings of \textit{B. D. Calvert} and \textit{C. P. Gupta} [Nonlinear Anal., Theory, Methods Appl. 2, No. 1, 1--26 (1978; Zbl 0369.47033)], the abstract result on the existence and uniqueness of the solution in \(L^p(\Omega)\) of the generalized capillarity equation with nonlinear Neumann boundary value conditions, where \(2N/(N + 1) < p < +\infty\) and \(N(\geq 1)\) denotes the dimension of \(\mathbb{R}^N\), 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.
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 6134023
Wikidata QID: Q58694955
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/154307
OpenAlex ID: W1972353771
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description: scientific article; zbMATH DE number 6134023