201. Fully nonlinear free transmission problems.
- Author
-
Pimentel, Edgard A. and Santos, Makson S.
- Subjects
NONLINEAR operators ,ELLIPTIC operators ,VISCOSITY - 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, approximation 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. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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