7 citations · 7 across the 6 of their papers we have counts for
7 papers
Higher order pointwise estimates for intermediate derivative
Miroslav Horák, Filip Soudský, Martina Šimůnková
The estimates of intermediate derivative play important role in the theory of partial differential equations. The modern approach to this problem is via pointwise estimates, since…
An elementary proof of Acerbi Fusco minimizer existence theorem
Tomáš G. Roskovec, Filip Soudský
The weak lower semicontinuity of the functional is a classical topic that was studied thoroughly. It was shown that if the function is cont…
Smooth homeomorphic approximation of piecewise affine homeomorphisms
Daniel Campbell, Filip Soudský
Given any a locally finitely piecewise affine homeomorphism of $Ω\subset \rn$ onto $Δ\subset \rn$ in , and any we construct a smooth injective…
Regularity of the inverse mapping in Banach function spaces
Anastasia Molchanova, Tomáš Roskovec, Filip Soudský
We study the regularity properties of the inverse of a bilipschitz mapping belonging , where is an arbitrary Banach function space. Namely, we prove tha…
Detailed proof of classical Gagliardo-Nirenberg interpolation inequality with historical remarks
Alberto Fiorenza, Maria Rosaria Formica, Tomáš Roskovec +1
A carefully written Nirenberg's proof of the well known Gagliardo-Nirenberg interpolation inequality for intermediate derivatives in seems, surprisingly, to be missi…
Interpolation between H\" older and Lebesgue spaces with applications
Anastasia Molchanova, Tomáš Roskovec, Filip Soudský
Classical interpolation inequality of the type is well known in the case when , , are Lebesgue spaces. In this paper we show t…
Minkowski Integral Inequality Revisited
Filip Soudský
We generalize the classical Minkowski integral inequality to the form involving general Banach function norms.