If u solves ∇2u = 0, in D ⊆ Rn then,(Here ∂D denotes the bounda – McqOptions

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1.	If u solves ∇2u = 0, in D ⊆ Rn then,(Here ∂D denotes the boundary of D and D̅ = D ∪ ∂D)
A.	\(\mathop {\max }\limits_{\bar D} u \ge \mathop {\max }\limits_D u\)
B.	\(\mathop {\max }\limits_{\bar D} u = \mathop {\max }\limits_{\partial D} u\)
C.	\(\mathop {\max }\limits_{\bar D} u = u\left( x \right)\;\forall \;x \in D\)
D.	u is constant in D
Answer» C. \(\mathop {\max }\limits_{\bar D} u = u\left( x \right)\;\forall \;x \in D\)

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