Symmetry and nonsymmetry of minimal action sign-changing solutions for the Choquard system

作者：Jianqing Chen, Qian Zhang · 发表于：Advances in Nonlinear Analysis · 年份：2023 · DOI：10.1515/anona-2022-0286 · 被引用次数：6 · 研究领域：Advanced Mathematical Physics Problems、Nonlinear Partial Differential Equations、Advanced Differential Equations and Dynamical Systems

Abstract In this article, we consider the following Choquard system in R N N ≥ 1 {{\mathbb{R}}}^{N}N\ge 1 − Δ u + u = 2 p p + q ( I α ∗ ∣ v ∣ q ) ∣ u ∣ p − 2 u , − Δ v + v = 2 q p + q ( I α ∗ ∣ u ∣ p ) ∣ v ∣ q − 2 v , u ( x ) → 0 , v ( x ) → 0 as ∣ x ∣ → ∞ ,