Martin Kvrepela

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20172019

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math.AP2019

Solenoidal difference quotients and their application to the regularity theory of the $p$ -Stokes system

Martin Křepela, Michael Růžička

We prove existence of a solution to the divergence equation satisfying a new Bogovski-type estimate for the difference quotients. This enables us to give an alternative proof of th…

math.AP2017

A counterexample related to the regularity of the $p$ -Stokes problem

Martin Křepela, Michael Růžička

In this paper we construct a solenoidal vector field $u$ belonging to $W^{2, q} (Ω) \cap W_{0}^{1, s} (Ω)$ , $s \in (1, \infty)$ , $q \in (1, n)$ , such that $(1 + ∣ Du ∣)^{p - 2}$ …

Solenoidal difference quotients and their application to the regularity theory of the p-Stokes system

A counterexample related to the regularity of the p-Stokes problem

Solenoidal difference quotients and their application to the regularity theory of the $p$ -Stokes system

A counterexample related to the regularity of the $p$ -Stokes problem