Geodesic
On existence and regularity of solutions to a class of generalized stationary Stokes problem
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 2, pp. 241-264 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 35B65, 35D05, 35D10, 35J55, 35Q30, 35Q35, 76D03, 76D07
Keywords: generalized Stokes problem; weak solutions; regularity up to the boundary 
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     author = {Huy, Nguyen Duc and Star\'a, Jana},
     title = {On existence and regularity of solutions  to a class of generalized stationary {Stokes} problem},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {241--264},
     year = {2006},
     volume = {47},
     number = {2},
     mrnumber = {2241530},
     zbl = {1150.76010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2006_47_2_a4/}
}
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Huy, Nguyen Duc; Stará, Jana. On existence and regularity of solutions  to a class of generalized stationary Stokes problem. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 2, pp. 241-264. http://geodesic.mathdoc.fr/item/CMUC_2006_47_2_a4/