| Full text | |
| Author(s): |
Pimentel, Edgard A.
;
Santos, Makson S.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | INTERFACES AND FREE BOUNDARIES; v. 25, n. 3, p. 18-pg., 2023-01-01. |
| Abstract | |
We examine a free transmission problem driven by fully nonlinear elliptic operators. Since the transmission interface is determined endogenously, our analysis regards this object as a free boundary. We start by relating our problem with a pair of viscosity inequalities. Then, approx-imation methods ensure that strong solutions are of class C 1;Log-Lip, locally. In addition, under further conditions on the problem, we prove quadratic growth of the solutions away from branch points. (AU) | |
| FAPESP's process: | 21/04524-0 - Regularity theory for classes of local and non-local degenerate elliptic equation |
| Grantee: | Makson Sales Santos |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |