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Open Mathematics

formerly Central European Journal of Mathematics

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Volume 11, Issue 7


Volume 13 (2015)

Boundary regularity of flows under perfect slip boundary conditions

Petr Kaplický
  • Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, 186 75, Praha 8, Czech Republic
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/ Jakub Tichý
  • Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, 186 75, Praha 8, Czech Republic
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Published Online: 2013-04-26 | DOI: https://doi.org/10.2478/s11533-013-0232-x


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.

MSC: 35B65; 35J60; 35Q35; 76D03

Keywords: Boundary regularity; Perfect Slip Boundary Condition; Generalized Stokes System

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About the article

Published Online: 2013-04-26

Published in Print: 2013-07-01

Citation Information: Open Mathematics, Volume 11, Issue 7, Pages 1243–1263, ISSN (Online) 2391-5455, DOI: https://doi.org/10.2478/s11533-013-0232-x.

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