Let $\omega$ be a bounded open subset in $R^5$ and $b$ be in $L^2(\omega)$. Put $M = \{ u \in W^{1,3}(\omega): \int_\omega b.u^2= 1 \} $. Is $M$ weakly closed in $W_0^{1,3}(\omega)$ ?
2026-02-22 21:26:13.1771795573
Weak closed in Sobolev space
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