@article{Wang2023, 
author = {Yixuan Wang and Xianjiu Huang},
title = {Ground states of Nehari-Pohožaev type for a quasilinear Schrödinger system with superlinear reaction},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {4},
pages = {2071-2094},
keywords = {quasilinear Schrödinger systems, ground state solutions, Pohožaev manifold},
url = {https://www.sciopen.com/article/10.3934/era.2023106},
doi = {10.3934/era.2023106},
abstract = {This article is devoted to study the following quasilinear Schrödinger system with super-quadratic condition:         {                            −          Δ          u          +                      V                          1                                (          x          )          u          −          Δ          (                      u                          2                                )          u          =          h          (          u          ,          v          )          ,                    x          ∈                                    R                                      N                                ,                                      −          Δ          v          +                      V                          2                                (          x          )          v          −          Δ          (                      v                          2                                )          v          =          g          (          u          ,          v          )          ,                    x          ∈                                    R                                      N                                ,                        where    N  ≥  3,        V          1        (  x  ),        V          2        (  x  ) are variable potentials and    h,    g satisfy some conditions. By establishing a suitable Nehari-Pohožaev type constraint set and considering related minimization problem, we prove the existence of ground states.}
}