The two membranes problem in a regular tree
In this article, we study the two membranes problem for operators given in terms of a mean value formula on a regular tree. We show existence of solutions under adequate conditions on the boundary data and the involved source terms. We also show that, when the boundary data are strictly separated, the coincidence set is separated from the boundary and thus it contains only a finite number of nodes.
Authors
- Alfredo Miranda (ORCID: https://orcid.org/0009-0008-9908-2435)
- Irene Gonzálvez (ORCID: https://orcid.org/0009-0007-9912-049X)
- Julio D. Rossi (ORCID: https://orcid.org/0000-0001-7622-2759)
Institutions
- Universidad de Buenos Aires (AR)
- Universidad Autónoma de Madrid (ES)
Publication Details
- Journal
- Proceedings of the Royal Society of Edinburgh Section A Mathematics
- Published
- 2024-12-27
- DOI
- https://doi.org/10.1017/prm.2024.137
- Primary Topic
- Advanced Graph Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- European Commission
- Consejo Nacional de Investigaciones Científicas y Técnicas
- Secretaría de Ciencia y Técnica, Universidad de Buenos Aires
- Agencia Estatal de Investigación