Closed Nodal Lines and Interior Hot Spots of the Second Eigenfunctions of the Laplacian on Surfaces

Pedro Freitas

Type: Article

Publication Date: 2002-01-01

Citations: 37

DOI: https://doi.org/10.1512/iumj.2002.51.2208

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Locations

Indiana University Mathematics Journal - View

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+ PDF Chat	Brownian motion with killing and reflection and the ‘‘hot–spots’’ problem	2004	Rodrigo Bañuelos Michael Pang Mihai N. Pascu
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Works Cited by This (12)

Action	Title	Year	Authors
+	Lectures on Differential Geometry	1994	Richard Schoen Shing Tung Yau
+ PDF Chat	A counterexample to the nodal domain conjecture and a related semilinear equation	1988	Chang‐Shou Lin Wei-Ming Ni
+	Asymptotics of the first nodal line of a convex domain	1996	Daniel Grieser David Jerison
+	On the “Hot Spots” Conjecture of J. Rauch	1999	Rodrigo Bañuelos Krzysztof Burdzy
+	The Weyl and Minkowski problems in differential geometry in the large	1953	Louis Nirenberg
+	On two conjectures in the fixed membrane eigenvalue problem	1973	L. E. Payne
+	On the second eigenfunctions of the Laplacian in R2	1987	Chang‐Shou Lin
+	Isoperimetric Inequalities and Their Applications	1967	L. E. Payne
+	On the nodal lines of second eigenfunctions of the fixed membrane problem	1990	Rolf Pütter
+	Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains	1994	Giovanni Alessandrini