A C-1 REGULARITY RESULT FOR THE INHOMOGENEOUS NORMALIZED INFINITY LAPLACIAN

作者:Crasta Graziano*; Fragala Ilaria*
来源:Proceedings of the American Mathematical Society, 2016, 144(6): 2547-2558.
DOI:10.1090/proc/12916

摘要

We prove that the unique solution to the Dirichlet problem with constant source term for the inhomogeneous normalized infinity Laplacian on a convex domain of R-N is of class C-1. The result is obtained by showing as an intermediate step the power- concavity (of exponent 1/2) of the solution.

  • 出版日期2016-6