3 papers
math.AP2025
On the existence of Nehari ground states for the Nonlinear Schrödinger Equation on Discrete Graphs
Setenay Akduman, Matthias Hofmann, Sedef Karakılıç
We study standing waves for the nonlinear Schrödinger equation on a discrete graph. We characterize for a self-adjoint realizations of Schrödinger operators conditions related with…
math-ph2024
On open book analogs of quantum graphs
Setenay Akduman, Peter Kuchment
Quantum graphs have become in this century a favorite playground for mathematicians, mathematical physicists, and chemists, due to their manifold applications as models of thin str…
math.SP2015
Asymptotic Behaviour of Resonance Eigenvalues of the Schrödinger operator with a Matrix Potential
Sedef Karakılıç, Setenay Akduman, Didem Coşkan
We will discuss the asymptotic behaviour of the eigenvalues of Schrödinger operator with a matrix potential defined by Neumann boundary condition in , where is -di…