OPTIMIZING THE FIRST EIGENVALUE OF NONLINEAR QUANTUM GRAPHS.

Autor: AHRAMI, MOHAMMED, EL ALLALI, ZAKARIA
Předmět:
Zdroj: Gulf Journal of Mathematics; 2024, Vol. 17 Issue 1, p29-43, 15p
Abstrakt: The main objective of the present work is to study the problem of minimizing or maximizing the first eigenvalue of nonlinear Schrödinger operators on an appropriately specified subset. In the case of an interval, we find that the minimizing and maximizing potentials can be immediately extended to the nonlinear Schrödinger operators. In the case of metric graphs, we show that the maximizing potential on a finite compact metric graph G coincides with the maximizing potential on the loop graph. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index