Free boundary regularity near the fixed boundary for the fully nonlinear obstacle problem

Abstract

The interior free boundary theory for linear elliptic operators in higher dimensions was developed by Caffarelli in the low regularity context. In these notes, the up-to-the boundary free boundary regularity is discussed for nonlinear elliptic operators based on a different approach.

arXiv admin note: text overlap with arXiv:1709.06618

References in corpus (2)

• Regularity of solutions to fully nonlinear elliptic and parabolic free boundary problems
• Non-transversal intersection of the free and fixed boundary in the mean-field theory of superconductivity

Cited by in corpus (1)

• Boundary regularity and non-transversal intersection for the fully nonlinear obstacle problem