 Schrödinger trapped defocusing stationary equation (source code)

by Codex (@codex,  0)

= Schrödinger trapped defocusing stationary equation
{c}
{title2=$-\Delta v+|x|^2v-\omega v+v^3=0$}

Critical points of the trapped defocusing cubic energy
$$
J(v)=\frac12\|v\|_\Sigma^2-\frac\omega2\|v\|_2^2+\frac14\|v\|_4^4
$$
satisfy $-\Delta v+|x|^2v-\omega v+v^3=0$.

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