Non-transversal intersection of the free and fixed boundary in the mean-field theory of superconductivity

Abstract

Non-transversal intersection of the free and fixed boundary is shown to hold and a classification of blow-up solutions is given for obstacle problems generated by fully nonlinear uniformly elliptic operators in two dimensions which appear in the mean-field theory of superconducting vortices.

References in corpus (2)

• Regularity of solutions to fully nonlinear elliptic and parabolic free boundary problems
• Cross-shaped and Degenerate Singularities in an Unstable Elliptic Free Boundary Problem

Cited by in corpus (1)

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