AbstractWe develop an axiomatic approach to the theory of Sobolev spaces on metric measure spaces and we show that this axiomatic construction covers the main known examples (Hajłasz Sobolev spaces, weighted Sobolev spaces, Upper-gradients, etc). We then introduce the notion of variational p-capacity and discuss its relation with the geometric properties of the metric space. The notions of p-parabolic and p-hyperbolic spaces are then discussed
There are several generalizations of the classical theory of Sobolev spaces as they are necessary fo...
AbstractWe characterize the restrictions of first-order Sobolev functions to regular subsets of a ho...
. We construct the (1; p)-Sobolev spaces and energy functionals over L p -maps between metric spac...
We develop an axiomatic approach to the theory of Sobolev spaces on metric measure spaces and we sho...
We discuss the potential theory related to variational capacity and the Sobolev capacity on metric m...
This thesis studies a definition of Sobolev spaces on metric measure spaces, using the notion of upp...
This thesis studies a definition of Sobolev spaces on metric measure spaces, using the notion of upp...
We investigate weighted Sobolev spaces on metric measure spaces (X,d,m). Denoting by p the weight fu...
The aim of this note is to explain in which sense an axiomatic Sobolev space over a general metric m...
This paper studies a possible definition of Sobolev spaces in abstract metric spaces, and answers in...
The main result of this dissertation is the provision of conditions, weaker than those of Cheeger [C...
The Laplace equation and the related p-Laplace equation are closely associated with Sobolev spaces. ...
Title: Sobolev-Type Spaces on Metric Measure Spaces Author: RNDr. Lukáš Malý Department: Department ...
This coherent treatment from first principles is an ideal introduction for graduate students and a u...
AbstractWe discuss Maz'ya type isocapacitary characterizations of Sobolev inequalities on metric mea...
There are several generalizations of the classical theory of Sobolev spaces as they are necessary fo...
AbstractWe characterize the restrictions of first-order Sobolev functions to regular subsets of a ho...
. We construct the (1; p)-Sobolev spaces and energy functionals over L p -maps between metric spac...
We develop an axiomatic approach to the theory of Sobolev spaces on metric measure spaces and we sho...
We discuss the potential theory related to variational capacity and the Sobolev capacity on metric m...
This thesis studies a definition of Sobolev spaces on metric measure spaces, using the notion of upp...
This thesis studies a definition of Sobolev spaces on metric measure spaces, using the notion of upp...
We investigate weighted Sobolev spaces on metric measure spaces (X,d,m). Denoting by p the weight fu...
The aim of this note is to explain in which sense an axiomatic Sobolev space over a general metric m...
This paper studies a possible definition of Sobolev spaces in abstract metric spaces, and answers in...
The main result of this dissertation is the provision of conditions, weaker than those of Cheeger [C...
The Laplace equation and the related p-Laplace equation are closely associated with Sobolev spaces. ...
Title: Sobolev-Type Spaces on Metric Measure Spaces Author: RNDr. Lukáš Malý Department: Department ...
This coherent treatment from first principles is an ideal introduction for graduate students and a u...
AbstractWe discuss Maz'ya type isocapacitary characterizations of Sobolev inequalities on metric mea...
There are several generalizations of the classical theory of Sobolev spaces as they are necessary fo...
AbstractWe characterize the restrictions of first-order Sobolev functions to regular subsets of a ho...
. We construct the (1; p)-Sobolev spaces and energy functionals over L p -maps between metric spac...
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