We investigate boundary regularity of solutions of generalized Stokes equations. The problem is complemented with perfect slip boundary conditions and we assume that the nonlinear elliptic operator satisfies non-standard ϕ-growth conditions. We show the existence of second derivatives of velocity and their optimal regularity.
@article{bwmeta1.element.doi-10_2478_s11533-013-0232-x,
author = {Petr Kaplick\'y and Jakub Tich\'y},
title = {Boundary regularity of flows under perfect slip boundary conditions},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {1243-1263},
zbl = {1278.35040},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0232-x}
}
Petr Kaplický; Jakub Tichý. Boundary regularity of flows under perfect slip boundary conditions. Open Mathematics, Tome 11 (2013) pp. 1243-1263. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0232-x/
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