Abstract
There exists a nonconstant harmonic function h h on R N {\mathbb {R}^N} , where N ⩾ 2 N \geqslant 2 , such that ∫ P | h | > + ∞ {\smallint _P}|h| > + \infty and ∫ P h = 0 {\smallint _P}h = 0 for every ( N − 1 ) (N - 1) -dimensional hyperplane P P .
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