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Article

Huy, Nguyen Duc ; Stará, Jana
On existence and regularity of solutions to a class of generalized stationary Stokes problem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 2, pp. 241-264
MSC: 35B65, 35D05, 35D10, 35J55, 35Q30, 35Q35, 76D03, 76D07 | MR 2241530 | Zbl 1150.76010
Keywords:
generalized Stokes problem; weak solutions; regularity up to the boundary
Summary:
We investigate the existence of weak solutions and their smoothness properties for a generalized Stokes problem. The generalization is twofold: the Laplace operator is replaced by a general second order linear elliptic operator in divergence form and the ``pressure'' gradient $\nabla p$ is replaced by a linear operator of first order.
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