Erratum to “On the Classification of Standing Wave Solutions for the Schrödinger Equation”

2010 ◽  
Vol 35 (10) ◽  
pp. 1920-1921
Author(s):  
Jann-Long Chern ◽  
Zhi-You Chen ◽  
Yong-Li Tang
Keyword(s):  
Schrödinger Equation ◽  
Standing Wave ◽  
Schrodinger Equation ◽  
Wave Solutions

On the Classification of Standing Wave Solutions for the Schrödinger Equation

2010 ◽  
Vol 35 (2) ◽  
pp. 275-301 ◽  
Author(s):  
Jann-Long Chern ◽  
Zhi-You Chen ◽  
Jhih-He Chen ◽  
Yong-Li Tang
Keyword(s):  
Schrödinger Equation ◽  
Standing Wave ◽  
Schrodinger Equation ◽  
Wave Solutions

Non-radially symmetric solutions of nonlinear Schrödinger equation coupled with Maxwell equations

2002 ◽  
Vol 2 (2) ◽  
Author(s):  
Pietro d’Avenia
Keyword(s):  
Schrödinger Equation ◽  
Standing Wave ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Maxwell Equations ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Wave Solutions ◽  
Radially Symmetric Solutions

AbstractIn this paper we prove the existence of standing wave solutions of nonlinear Schrödinger equation coupled with Maxwell equations which are non-radially symmetric.

Bifurcation and standing wave solutions for a quasilinear Schrödinger equation

2018 ◽  
Vol 149 (04) ◽  
pp. 939-968
Author(s):  
Guowei Dai
Keyword(s):  
Schrödinger Equation ◽  
Positive Solution ◽  
Standing Wave ◽  
Positive Solutions ◽  
Schrodinger Equation ◽  
Quasilinear Schrödinger Equation ◽  
Topological Methods ◽  
Wave Solutions ◽  
Multiplicity Of Positive Solutions ◽  
Image Position

AbstractWe use bifurcation and topological methods to investigate the existence/nonexistence and the multiplicity of positive solutions of the following quasilinear Schrödinger equation$$\left\{ {\matrix{ {-\Delta u-\kappa \Delta \left( {u^2} \right)u = \beta u-\lambda \Phi \left( {u^2} \right)u{\mkern 1mu} {\mkern 1mu} } \hfill & {{\rm in}\;\Omega ,} \hfill \cr {u = 0} \hfill & {{\rm on}\;\partial \Omega } \hfill \cr } } \right.$$involving sublinear/linear/superlinear nonlinearities at zero or infinity with/without signum condition. In particular, we study the changes in the structure of positive solution withκas the varying parameter.

Sign in / Sign up

Export Citation Format

Share Document