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Kenig, C.E. and Merle, F. (2006) Global Well-Posedness, Scattering and Blow-Up for the Energy-Critical, Focusing, Non-Linear Schrödinger Equation in the Radial Case. Inventiones mathematicae, 166, 645-675.
https://doi.org/10.1007/s00222-006-0011-4

has been cited by the following article:

• TITLE: A Note on Global Existence, Blow-Up and Orbital Stability of Standing Waves for the Schrödinger Equation with Mixed Nonlinearities

  AUTHORS: Hui Jian, Silin Xiao, Meixia Cai

  KEYWORDS: Nonlinear Schrödinger Equation, Mixed Nonlinearities, Blow-Up, Global Existence, Orbital Stability of Standing Waves

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.8, August 25, 2025

  ABSTRACT: This study is devoted to the global existence, blow-up and orbital stability of standing waves for the Schrödinger equation with mixed nonlinearities. Firstly, we derive some criteria for global existence and blow-up of the solutions by making use of the ground state and scaling techniques. Secondly, by taking advantage of the refined compactness argument, scaling techniques and the variational characterization of ground state solutions, we explore the L 2 -concentration phenomenon and limiting behavior of blow-up solutions in the L 2 -critical case with μ=±1 and 1