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math.AP2018★ 8 cited
On global estimates for systems with -growth in rough domains
M. Bulíček, S. Byun, P. Kaplický +2
We study regularity results for nonlinear parabolic systems of -Laplacian type with inhomogeneous boundary and initial data, with . We show bounds o…
math.AP2018★ 3 cited
On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index
Anna Abbatiello, Miroslav Bulíček, Petr Kaplický
Steady flows of an incompressible homogeneous chemically reacting fluid are described by a coupled system, consisting of the generalized Navier--Stokes equations and convection - d…
math.AP2015
Interior regularity of space derivatives to an evolutionary, symmetric -Laplacian
Jan Burczak, Petr Kaplický
We consider Orlicz-growth generalization to evolutionary -Laplacian and to the evolutionary symmetric -Laplacian. We derive the spatial second-order Caccioppoli estimate for…