(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let u(x; y) be real, nonconstant, and continuous in a closed

bounded region R. Let u(x; y) be harmonic in the interior of R. Prove that

the maximum and minimum value of u(x; y) in this region occurs on the boundary.

2. Relevant equations

the theorem said that( a function analtic in bounded domain and continous up to and including its boundry attains its maximum modlus on the boundry

3. The attempt at a solution

can i suppose that u(x;y) is nonzero ?

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# Homework Help: Bounds for analtic functions

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