Remarks on the fine structure of the free boundary (the no-sign obstacle problem)
Abstract
We present several results inspired by the method recently developed by Figalli and Serra regarding the fine structure of the free boundary, applied here to the no-sign obstacle problem. After overcoming various technical challenges, this approach proves partially effective in addressing the no-sign obstacle problem. However, we also identify key questions that remain open and appear to require techniques not currently available to us.
Fields of Study & Subjects
Complexity and Algorithms in Graphs
Optimization and Variational Analysis
Computational Geometry and Mesh Generation
Publication details
- Journal / source
- Interfaces and Free Boundaries Mathematical Analysis Computation and Applications
- Publication date
- 30 July 2026
- Language
- EN