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Thanasis Stylianou's user avatar
Thanasis Stylianou's user avatar
Thanasis Stylianou
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$\lVert u\rVert_{W^{2,p}}$ is bounded above by $\lVert \Delta_p u\rVert_{L^2}$ for $u \in W^{1,p}_0 \cap W^{2,p}$?
I realized that boundary regularity is probably not interesting since it is mentioned without any concerns that the inequality holds for $p=2$. However, it was not explicitly mentioned and I only wanted to point it out as possible issue.
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$\lVert u\rVert_{W^{2,p}}$ is bounded above by $\lVert \Delta_p u\rVert_{L^2}$ for $u \in W^{1,p}_0 \cap W^{2,p}$?
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