Year of origin: 1929
Posted online: 2018-05-22 12:29:33Z by Henrik Shahgholian
Cite as: G-180522.1
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The Pompeiu problem states that if the integral of a nonzero continuous function on $\mathbb R^n$ vanishes on all congruent copies of a bounded Lipschitz domain $K$ then the domain is a ball. The problem is connected to Schiffer's conjecture, and generally to free boundary problems.
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