Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains
type: Item
instance of: scholarly article
title: Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains
zbMATH Open document ID: 1269.47053
author: Mirela Kohr
author: Massimo Lanza de Cristoforis
author: W. L. Wendland
published in: Potential Analysis
publication date: 2013-05-13T00:00:00Z
review text: The authors investigate the existence of solutions for a nonlinear Neumann-transmission problem for the Stokes and Brinkman operators on Euclidian Lipschitz domains and with the boundary data in various spaces, such as \(L^p\) spaces, Sobolev spaces, or Besov spaces. They use a layer potential analysis and the Leray-Schauder degree theory.
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 76D99
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 6162457
zbMATH Keywords: Stokes and Brinkman operators
zbMATH Keywords: Lipschitz domain
zbMATH Keywords: nonlinear boundary value problem
zbMATH Keywords: layer potential operators
reviewed by: Rodica Luca
MaRDI profile type: Publication
full work available at URL: s11118-012-9310-0
OpenAlex ID: W2152983942
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Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains (DOI)
DOI: 10.1007/S11118-012-9310-0

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