In this paper we study the existence and the analytic dependence upon domain perturbation of the solutions of a nonlinear nonautonomous transmission problem for the Laplace equation. The problem is defined in a pair of sets consisting of a perforated domain and an inclusion whose shape is determined by a suitable diffeomorphism. First we analyse the case in which the inclusion is a fixed domain. Then we will perturb the inclusion and study the arising boundary value problem and the dependence of a specific family of solutions upon the perturbation parameter ϕ.
Dalla Riva M., Molinarolo R., Musolino P. (2021). Existence results for a nonlinear nonautonomous transmission problem via domain perturbation. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, 1-26 [10.1017/prm.2021.60].
Existence results for a nonlinear nonautonomous transmission problem via domain perturbation
Dalla Riva M.;
2021-10-01
Abstract
In this paper we study the existence and the analytic dependence upon domain perturbation of the solutions of a nonlinear nonautonomous transmission problem for the Laplace equation. The problem is defined in a pair of sets consisting of a perforated domain and an inclusion whose shape is determined by a suitable diffeomorphism. First we analyse the case in which the inclusion is a fixed domain. Then we will perturb the inclusion and study the arising boundary value problem and the dependence of a specific family of solutions upon the perturbation parameter ϕ.
| File | Dimensione | Formato | |
|---|---|---|---|
|
existence-results-for-a-nonlinear-nonautonomous-transmission-problem-via-domain-perturbation (1).pdf
accesso aperto
Tipologia:
Versione Editoriale
Dimensione
579.32 kB
Formato
Adobe PDF
|
579.32 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
