Geodesic
Some boundary value problems in three-dimensional domains
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 157-166

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Some nonstandard boundary value problems are studied for the stationary Poisson system, Stokes system, and Navier–Stokes system. The problems under consideration are “intermediate” between the Dirichlet problem and Neumann problem. The well-posedness of these problems is proved. 
@article{TM_2016_293_a10,
     author = {Yulii A. Dubinskii},
     title = {Some boundary value problems in three-dimensional domains},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {157--166},
     publisher = {mathdoc},
     volume = {293},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2016_293_a10/}
}
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Yulii A. Dubinskii. Some boundary value problems in three-dimensional domains. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 157-166. http://geodesic.mathdoc.fr/item/TM_2016_293_a10/