A bifurcation analysis on a nonlocal overdetermined problem

In this paper, we study an overdetermined problem with Kirchhoff type nonlocal terms related to the celebrated work by Serrin. We obtain the precise number of solutions according to the value of the bifurcation parameter and study asymptotics of bifurcation curves of solutions when the bifurcation p...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Sato Kazuki
Takahashi Futoshi
Dokumentumtípus: Folyóirat
Megjelent: 2025
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Elliptikus egyenlet - nemlokális, Bifurkációs analízis
Tárgyszavak:
doi:10.14232/ejqtde.2025.1.42

Online Access:http://acta.bibl.u-szeged.hu/88922
Leíró adatok
Tartalmi kivonat:In this paper, we study an overdetermined problem with Kirchhoff type nonlocal terms related to the celebrated work by Serrin. We obtain the precise number of solutions according to the value of the bifurcation parameter and study asymptotics of bifurcation curves of solutions when the bifurcation parameter is large in some cases.
Terjedelem/Fizikai jellemzők:9
ISSN:1417-3875