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If $u \in H^2_0(\Omega)$, is it true that $$u(x) \le \mathrm{dist}(x,\partial \Omega)^2$$$$u(x) \le C\mathrm{dist}(x,\partial \Omega)^2$$ as $x$ goes to the boundary?
If $u \in H^2_0(\Omega)$, is it true that $$u(x) \le \mathrm{dist}(x,\partial \Omega)^2$$ as $x$ goes to the boundary?
If $u \in H^2_0(\Omega)$, is it true that $$u(x) \le C\mathrm{dist}(x,\partial \Omega)^2$$ as $x$ goes to the boundary?
If $u \in H^2_0(\Omega)$, is it true that $$u(x) \asymp \mathrm{dist}(x,\partial \Omega)^2$$$$u(x) \le \mathrm{dist}(x,\partial \Omega)^2$$ as $x$ goes to the boundary?
If $u \in H^2_0(\Omega)$, is it true that $$u(x) \asymp \mathrm{dist}(x,\partial \Omega)^2$$ as $x$ goes to the boundary?
If $u \in H^2_0(\Omega)$, is it true that $$u(x) \le \mathrm{dist}(x,\partial \Omega)^2$$ as $x$ goes to the boundary?
