Level sets of Neumann eigenfunctions
Rodrigo BanuelosMichael Pang
35P0535J2535J05Neumann eigenfunctionslevel setsconnected components
In this paper we prove that the level sets of the first non--constant eigenfunction of the Neumann Laplacian on a convex planar domain have only finitely many connected components. This problem is motivated, in part, by the "hot spots" conjecture of J. Rauch.
Indiana University Mathematics Journal
2006
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10.1512/iumj.2006.55.2808
10.1512/iumj.2006.55.2808
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Indiana Univ. Math. J. 55 (2006) 923 - 940
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