scholarly journals Infinitely many solutions for quasilinear Schrödinger equations under broken symmetry situation

2016 ◽  
Vol 48 (1) ◽  
pp. 1 ◽  
Author(s):  
Liang Zhang ◽  
Xianhua Tang ◽  
Yi Chen
Keyword(s):  
Broken Symmetry ◽  
Schrodinger Equations ◽  
Infinitely Many Solutions ◽  
Schrödinger Equations

Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four

2017 ◽  
Vol 8 (1) ◽  
pp. 715-724 ◽  
Author(s):  
Jérôme Vétois ◽  
Shaodong Wang
Keyword(s):  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Infinitely Many Solutions ◽  
Schrödinger Equations ◽  
Optimal Dimension ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations

Abstract We extend Chen, Wei and Yan’s constructions of families of solutions with unbounded energies [5] to the case of cubic nonlinear Schrödinger equations in the optimal dimension four.

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