3 citations · 5 across the 3 of their papers we have counts for
5 papers
Sobolev embedding for spaces is equivalent to a lower bound of the measure
Ryan Alvarado, Przemysław Górka, Piotr Hajłasz
It has been known since 1996 that a lower bound for the measure, , implies Sobolev embedding theorems for Sobolev spaces defined on metric-measure spa…
Multipole matrix elements of Green function of Laplace equation
Karol Makuch, Przemysław Górka
Multipole matrix elements of Green function of Laplace equation are calculated. The multipole matrix elements of Green function in electrostatics describe potential on a sphere whi…
Schauder theory in variable Hölder spaces
Piotr Michał Bies, Przemysław Górka
We study elliptic equations on bounded domain of Euclidean spaces in the variable Hölder spaces. Interior a priori Schauder estimates are given as well as global ones. Moreover, th…
The Liouville theorems for elliptic equations with nonstandard growth
Tomasz Adamowicz, Przemysław Górka
We study solutions and supersolutions of homogeneous and nonhomogeneous -harmonic equations with nonstandard growth in . Various Liouville-type theorems…
Sobolev spaces on locally compact abelian groups
Przemysław Górka, Enrique G. Reyes
Motivated by a class of nonlinear equations of interest for string theory, we introduce Sobolev spaces on arbitrary locally compact abelian groups and we examine some of their prop…