Optimizing the first eigenvalue of nonlinear quantum graphs

Main Article Content

Mohammed Ahrami
Zakaria El Allali

Abstract

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 appropriate specified subset. In the interval case we find that the minimizing and maximizing potentials can extended immediately to the nonlinear Schrödinger operators. In the metric graphs case we show that the maximizing potential on a finite compact metric graphs G is coincide with the maximizing potential on the loop graphs.

Downloads

Download data is not yet available.

Article Details

How to Cite
Mohammed Ahrami, & Zakaria El Allali. (2024). Optimizing the first eigenvalue of nonlinear quantum graphs. Gulf Journal of Mathematics, 17(1), 29-43. https://doi.org/10.56947/gjom.v17i1.1978
Section
Articles