Concentration behavior of ground states for \( L^2\)-critical Schrödinger equation with a spatially decaying nonlinearity

DOI10.3934/cpaa.2022026zbMath1491.35363arXiv2106.14375OpenAlexW3173205862MaRDI QIDQ2128885

Yong Luo, Shu Zhang

Publication date: 22 April 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.14375

zbMATH Keywords

local uniquenessground statesconcentration behaviorconstrained variational method\(L^2\) critical

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Applications of functional analysis in quantum physics (46N50) Variational methods for second-order elliptic equations (35J20) PDE constrained optimization (numerical aspects) (49M41)

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