Growth of Sobolev Norms in Linear Schrödinger Equations with Quasi-Periodic Potential

1999 ◽  
Vol 204 (1) ◽  
pp. 207-247 ◽  
Author(s):  
J. Bourgain
Keyword(s):  
Periodic Potential ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Sobolev Norms

scholarly journals Positive ground state solutions for asymptotically periodic generalized quasilinear Schrödinger equations

2021 ◽  
Vol 7 (1) ◽  
pp. 1015-1034
Author(s):  
Shulin Zhang ◽  
◽  
Keyword(s):  
Variational Method ◽  
Ground State ◽  
Periodic Potential ◽  
Ground State Solution ◽  
State Solution ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Ground State Solutions ◽  
Asymptotically Periodic

<abstract><p>In this paper, we study the existence of a positive ground state solution for a class of generalized quasilinear Schrödinger equations with asymptotically periodic potential. By the variational method, a positive ground state solution is obtained. Compared with the existing results, our results improve and generalize some existing related results.</p></abstract>

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