Differentiability of solutions for a degenerate fully nonlinear free transmission problem
Abstract We study a fully nonlinear free transmission problem in the presence of general degeneracy laws. Under minimal conditions on the degeneracy of the model, we establish the differentiability of viscosity solutions.
Authors
- David Stolnicki (ORCID: https://orcid.org/0000-0002-1025-7809)
- Edgard A. Pimentel (ORCID: https://orcid.org/0000-0002-6420-0410)
Institutions
- University of Warsaw (PL)
- University of Coimbra (PT)
Publication Details
- Journal
- Bulletin of the Brazilian Mathematical Society New Series
- Published
- 2025-07-24
- DOI
- https://doi.org/10.1007/s00574-025-00471-6
- Citations
- 1
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 2.63
Funders
- King Abdullah University of Science and Technology
- Universidade de Coimbra
- Ministério da Ciência, Tecnologia e Ensino Superior
- Fundação para a Ciência e a Tecnologia
- Centro de Matemática, Universidade de Coimbra