Fully nonlinear free transmission problems

Autor(es)

Pimentel, Edgard A. ; Santos, Makson S.

• Tipo de documento: Artigo Científico
• Fonte: INTERFACES AND FREE BOUNDARIES; v. 25, n. 3, p. 18-pg., 2023-01-01.

Resumo

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)

• Processo FAPESP: 21/04524-0 - Teoria de regularidade para classes de equações elípticas degeneradas locais e não locais
• Beneficiário: Makson Sales Santos
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado