Multiple mixed interior and boundary peaks synchronized solutions for nonlinear coupled elliptic systems

作者：Tang, Zhongwei; Wang, Lushun^*; Xie, Huafei

来源：Journal of Mathematical Physics, 2023, 64(5): 051508.

DOI：10.1063/5.0120617

• SPIKE-LAYER SOLUTIONS
• POSITIVE SOLUTIONS
• SCHRODINGER
• STATES
• UNIQUENESS
• EQUATIONS

This paper is devoted to a class of singularly perturbed nonlinear Schrodinger systems defined on a smooth bounded domain in R-N(N = 2,3). We use the Lyapunov-Schmidt reduction method to construct synchronized vector solutions with multiple spikes both on the boundary and in the interior of the domain. For each vector solution that has been constructed, we point out that the interior spikes locate near sphere packing points in the domain, and the boundary spikes locate near the critical points of the mean curvature function related to the boundary of the domain.

• 单位
  浙江师范大学