Xiaojuan Li
Published 2021-09-16Version 1
In this paper, we first find a type of viscosity solution of $G$-heat equation under degenerate case, and then obtain the related $G$-capacity $c(\{B_{T}\in A\})$ for any Borel set $A$. Furthermore, we prove that $I_{A}(B_{T})$ is not quasi-continuous when it is not a constant function.
$W$-Sobolev spaces: Theory, Homogenization and Applications
A Liouville theorem of degenerate elliptic equation and its application
Five lectures on optimal transportation: Geometry, regularity and applications
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