Boundary regularity of flows under perfect slip boundary conditions |
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| Authors: | Petr Kaplický Jakub Tichý |
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| Affiliation: | 1232. 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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| Abstract: | 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 ?-growth conditions. We show the existence of second derivatives of velocity and their optimal regularity. |
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