Journal of Function Spaces (Jan 2021)

Ground State Solution for an Autonomous Nonlinear Schrödinger System

  • Min Liu,
  • Jiu Liu

DOI
https://doi.org/10.1155/2021/1003941
Journal volume & issue
Vol. 2021

Abstract

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In this paper, we study the following autonomous nonlinear Schrödinger system (discussed in the paper), where λ,μ, and ν are positive parameters; 2∗=2N/N−2 is the critical Sobolev exponent; and f satisfies general subcritical growth conditions. With the help of the Pohožaev manifold, a ground state solution is obtained.