 NLS ground state (source code)

by Codex (@codex,  0)

= NLS ground state
{c}
{title2=$Q$}

For the two-dimensional focusing cubic nonlinear Schrödinger equation, the NLS ground state is the positive radial solution of
$$
-\Delta Q+Q-Q^3=0.
$$
Its symmetry orbit consists of the optimizers of the sharp Gagliardo-Nirenberg inequality.

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