UMD PDE Qualifying Exams/Aug2010PDE
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Problem 1[edit | edit source]
A superharmonic satisfies in , where here is open, bounded. (a) Show that if is superharmonic, then . (b) Prove that if is superharmonic, then (c) Suppose is connected. Show that if there exists such that then is constant in . |
Solution[edit | edit source]
(a)[edit | edit source]
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