scholarly journals Existence of solutions to a class of quasilinear Schrödinger systems involving the fractional p -Laplacian

2016 ◽  
pp. 1-15 ◽  
Author(s):  
Mingqi Xiang ◽  
Binlin Zhang ◽  
Zhe Wei
Keyword(s):  
Existence Of Solutions ◽  
Schrödinger Systems ◽  
Quasilinear Schrödinger Systems

Existence of solutions for nonlinear Schrödinger systems with periodic data perturbations

2018 ◽  
Vol 24 (1) ◽  
pp. 35-44
Author(s):  
Thiziri Chergui ◽  
Saadia Tas
Keyword(s):  
Variational Principle ◽  
Existence Result ◽  
Existence Of Solutions ◽  
Mountain Pass Theorem ◽  
Nehari Manifold ◽  
Nonlinear Schrödinger ◽  
Periodic Data ◽  
Nonlinear Schrödinger Systems ◽  
Schrödinger Systems ◽  
The Nehari Manifold

Abstract This paper deals with a class of the stationary nonlinear Schrödinger Systems in {\mathbb{R}^{N}} . Our main tools are based on variational methods. More precisely, by using Ekeland’s Variational Principle, the Mountain Pass Theorem and the Nehari Manifold Method, an existence result is established.

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