Removable singularities of solutions of degenerate quasilinear equations
The aim of this paper is to provide removable singularity results for weak solutions of degenerate quasilinear parabolic equations and their elliptic equivalents. For the prove of the results the author first characterizes the sets of weighted capacity zero and weighted null sets. Then he connects the capacity (or the nullity indices) of the singular set to the Lebesgue classes of the weight \(\mu\), of 1/\(\mu\) and of the \(x_ i\)-derivatives of the weak solutions.
degenerate quasilinear parabolic equations
scientific article; zbMATH DE number 3951130
scientific article