4.6 Article

Locations of spikes for linearly coupled Schrodinger systems

期刊

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 44, 期 18, 页码 14915-14936

出版社

WILEY
DOI: 10.1002/mma.7752

关键词

ground states; linearly coupled terms; Schrodinger system; spikes

资金

  1. National Natural Science Foundation of China [NSFC11671364, NSFC12071438, NSFC11901531]

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This paper investigates the locations and interaction of spikes for the ground states of a Schrodinger system with linearly coupled terms under Dirichlet or Neumann boundary conditions, utilizing the variation method, maximum principle, and blow up technique.
In this paper, we consider the following Schrodinger system with linearly coupled terms: {-epsilon(2)Delta u + u = vertical bar u vertical bar(2)u + lambda v in Omega, (A(1)) -epsilon(2)Delta v + v = vertical bar v vertical bar(2)v + lambda u in Omega, where epsilon > 0, 0 < lambda < 1, and Omega is a bounded smooth domain in Double-struck capital R-3. Under the Dirichlet or Neumann boundary conditions, we study the locations and interaction of spikes for ground states of (A1) by the variation method, maximum principle, and blow up technique.

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