Displaying similar documents to “On a maximum principle for weak solutions of the stationary Stokes system”

On a generalized Stokes problem

Václav Mácha (2011)

Open Mathematics

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We deal with a generalization of the Stokes system. Instead of the Laplace operator, we consider a general elliptic operator and a pressure gradient with small perturbations. We investigate the existence and uniqueness of a solution as well its regularity properties. Two types of regularity are provided. Aside from the classical Hilbert regularity, we also prove the Hölder regularity for coefficients in VMO space.