Blow-up for the focusing energy critical nonlinear Schrödinger equation with confining harmonic potential
Xing Cheng, Yanfang Gao (2014)
Colloquium Mathematicae
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The focusing nonlinear Schrödinger equation (NLS) with confining harmonic potential , is considered. By modifying a variational technique, we shall give a sufficient condition under which the corresponding solution blows up.