Work

On a Serrin Type Overdetermined Problem

Year: 2024

Type: article

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.

Source: Milan Journal of Mathematics

DOI: 10.1007/s00032-024-00405-9

Authors: A. Celentano, C. Nitsch, C. Trombetti

Institution: University of Naples Federico II

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Università degli Studi di Napoli Federico II, Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni