On a Serrin Type Overdetermined Problem
Abstract In this paper, we prove a Serrin-type result for an elliptic system of equations, overdetermined with both Dirichlet and generalized Neumann conditions. With this tool, we characterize the critical shapes of some domain functionals under volume constraints.
Authors
- Carlo Nitsch (ORCID: https://orcid.org/0000-0001-6673-9332)
- Cristina Trombetti (ORCID: https://orcid.org/0000-0001-8466-9905)
- Antonio Celentano (ORCID: https://orcid.org/0000-0003-4293-2511)
Institutions
- University of Naples Federico II (IT)
Publication Details
- Journal
- Milan Journal of Mathematics
- Published
- 2024-09-06
- DOI
- https://doi.org/10.1007/s00032-024-00405-9
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Università degli Studi di Napoli Federico II
- Istituto Nazionale di Alta Matematica "Francesco Severi"