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  3. prove or disprove the following equality...

Question: prove or disprove the following equality...

Question details

Prove or disprove the following equality:

\int_{\Omega }^{ }\left ( u_{xx}'' +u_{yy}''\right )dxdy\overset{?}{=}\int_{l}^{ }\frac{\partial u}{\partial n}dl\; \;\; \; \; where\; \; \Omega =\left \{ x^{2}+y^{2} \leqslant 1\right \},\: l=\partial \Omega ,\; u=\sqrt{x^{2}+y^{2}}

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