We construct a counterexample to the "hot spots" conjecture; there exists a bounded connected planar domain (with two holes) such that the second eigenvalue of the Laplacian in that domain with ...

Krystyna Kuperberg, A Smooth Counterexample to the Seifert Conjecture, Annals of Mathematics, Vol. 140, No. 3 (Nov., 1994), pp. 723-732 ...

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