On the multiple spike solutions for singularly perturbed elliptic systems
Resource
Discrete and Continuous Dynamical Systems-Series B.18(1):237-258
Journal
Discrete and Continuous Dynamical Systems - Series B
Journal Volume
18
Journal Issue
1
Pages
237-258
Date Issued
2013
Author(s)
Abstract
We study the multiplicity of positive solutions for the two coupled nonlinear Schrödinger equations in bounded domains in this paper. By using Nehari manifold and Lusternik-Schnirelmann category, we prove the existence of multiple positive solutions for two coupled nonlinear Schrödinger equations in bounded domains. We also propose a numerical scheme that leads to various new numerical predictions regarding the solution characteristics.
Type
journal article