Talenti comparison results for solutions to p-Laplace equation on multiply connected domains
Abstract
In the last years comparison results of Talenti type for Elliptic Problems have been widely investigated. In this paper we obtain a comparison result for solutions to the p -Laplace equation in multiply connected domains with Robin boundary condition on the exterior boundary and non-homogeneous Dirichlet boundary conditions on the interior one, generalizing the results obtained in [2] , [7] to this type of domains. This will be a generalization to Robin boundary condition of the results obtained in [11] , [12] , with an improvement of the L 2 comparison in the case p = 2 . As a consequence, we obtain a Bossel-Daners and Saint-Venant type inequalities for multiply connected domains.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Advanced Harmonic Analysis Research
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Journal of Mathematical Analysis and Applications
- Volume
- 564
- Issue
- 1
- Pages
- 130847–130847
- Publication date
- 1 June 2026
- Language
- EN