 Constrained ground-state minimizer on a bounded domain (source code)

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= Constrained ground-state minimizer on a bounded domain

The infimum of $E(u)$ over $\lVert u\rVert_2=1$ is attained. A minimizing sequence is bounded in $H_0^1$ because $V$ is bounded below; weak compactness, Rellich strong $L^2$ convergence, and weak lower semicontinuity complete the direct-method argument.

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