The purpose of this paper is to use a layer potential analysis and the Leray–Schauder degree theory to show an existence result for a nonlinear Neumann– transmission problem corresponding to the Stokes and Brinkman operators on Euclidean Lipschitz domains with boundary data in Lp spaces, Sobolev spaces, and also in Besov spaces.
Nonlinear Neumann–Transmission Problems for Stokes and Brinkman Equations on Euclidean Lipschitz Domains
LANZA DE CRISTOFORIS, MASSIMO;
2013
Abstract
The purpose of this paper is to use a layer potential analysis and the Leray–Schauder degree theory to show an existence result for a nonlinear Neumann– transmission problem corresponding to the Stokes and Brinkman operators on Euclidean Lipschitz domains with boundary data in Lp spaces, Sobolev spaces, and also in Besov spaces.
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