Elliptic PDE's in probability and geometry: Symmetry and regularity of solutions
This paper introduces a self-contained account on the study of second order elliptic PDEs with probabilistic and geometric origins. Regularities of these equations, including the Harnack inequality, isoperimetric inequality, symmetric property, are discussed. To this end, a useful technique called the ABP method is applied.
scientific article; zbMATH DE number 5290018