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Ground state solutions for generalized quasilinear Schrödinger equations

Asymptotic Analysis
In this paper we consider the generalized quasilinear Schrödinger equations − div ( g 2 ( u ) ∇ u ) + g ( u ) g ′ ( u ) | ∇ u | 2 + V ( x ) u = h ( x , u ) , x ∈ R N , where V and h are periodic in x i , 1 ⩽ i ⩽ N. By using variational methods, we prove the existence of ground state solutions, i.e., nontrivial solutions with least possible energy.
Fang, Xiang-Dong, Han, Zhi-Qing
openaire   +1 more source

Blockchain-Empowered Space-Air-Ground Integrated Networks: Opportunities, Challenges, and Solutions

IEEE Communications Surveys and Tutorials, 2022
Yuntao Wang, Zhou, Jianbing Ni
exaly  

Ground state solutions of Nehari–Pohozaev type for Kirchhoff-type problems with general potentials

Calculus of Variations and Partial Differential Equations, 2017
Xianhua Tang, Sitong Chen
semanticscholar   +1 more source

Existence of ground state solutions for a Choquard double phase problem

Nonlinear Analysis: Real World Applications, 2023
Patrick Winkert
exaly  

On ground state solutions for the Schrödinger–Poisson equations with critical growth

Journal of Mathematical Analysis and Applications, 2014
Shangjiang Guo
exaly  

Ground state solutions for some Schrödinger–Poisson systems with periodic potentials

Journal of Differential Equations, 2016
Jijiang Sun, Shiwang
exaly  

Existence and exponential decay of ground-state solutions for a nonlinear Dirac equation

Zeitschrift Fur Angewandte Mathematik Und Physik, 2018
Fukun Zhao
exaly  

Ground state sign-changing solutions for asymptotically 3-linear Kirchhoff-type problems

Complex Variables and Elliptic Equations, 2017
Bitao Cheng, Xianhua Tang
exaly  

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