I am a postdoctoral researcher at the Department of Mathematics and Statistics of
the University of Jyväskylä.
I did my doctoral studies at Aalto University and I collaborate mainly with members of
the Nonlinear PDE Research Group.
- Analysis on metric measure spaces
- Functions of bounded variation (BV functions)
- Lower semicontinuity of functionals of linear growth
- Fine potential theory for p=1
Recently I have mostly studied (semi)continuity properties of BV functions and functions of least gradient, and related superminimizers.
Some such properties are new even in Euclidean spaces, but it is natural to study them in the more general setting of a metric space
equipped with a doubling measure and supporting a Poincaré inequality.
I am also interested in extending results of fine potential theory from the case p>1 to the case p=1.