Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains (Q1950469)

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.