Ground and Bound States of Nonlinear Schrödinger Equation

碩士 === 國立臺灣大學 === 數學研究所 === 95 === In this paper we consider a nonlinear Schrödinger equation. By Nehari manifold approach, the geometry of energy functional admits a minimum and a saddle point. Hence we can find two solutions of the equation which correspond to a ground state and a bound state....

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Bibliographic Details
Main Authors: Yu-Yu Liu, 劉育佑
Other Authors: 林太家
Format: Others
Language:en_US
Published: 2007
Online Access:http://ndltd.ncl.edu.tw/handle/24100424139528264008
Description
Summary:碩士 === 國立臺灣大學 === 數學研究所 === 95 === In this paper we consider a nonlinear Schrödinger equation. By Nehari manifold approach, the geometry of energy functional admits a minimum and a saddle point. Hence we can find two solutions of the equation which correspond to a ground state and a bound state.