Removable sets for Hölder continuous -harmonic functions on metric measure spaces.
Removable singularities for bounded -harmonic functions and quasi(super)harmonic functions.
Renormalized solutions of elliptic equations with general measure data
Represenation of a p-harmonic function near a critical point in the plane.
Resistance Conditions and Applications
This paper studies analytic aspects of so-called resistance conditions on metric measure spaces with a doubling measure. These conditions are weaker than the usually assumed Poincaré inequality, but however, they are sufficiently strong to imply several useful results in analysis on metric measure spaces. We show that under a perimeter resistance condition, the capacity of order one and the Hausdorff content of codimension one are comparable. Moreover, we have connections to the Sobolev inequality...