pic
Andrei Pokrovskii (Institute of Mathematics of NASU)
Removable singularities for solutions to quasilinear elliptic equations
Abstract.
The first part of the talk deals with removable singularities for
p-harmonic
functions in the class of all continuously differentiable functions with
H\"older gradient. In terms of the Hausdorff measure we give a sufficient
condition for the removability which is necessary for small H\"older
exponents. The main result of the second part of the talk is the similar
theorem for solutions to the minimal surface equation.
Back to talks