On the nodal set of the second eigenfunction of the Laplacian in symmetric domains \(\mathbb R^N \).

zbMath1042.35036MaRDI QIDQ1851413

Lucio Damascelli

Publication date: 17 December 2002

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

second eigenfunctionNodal setMaximum principle.

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (8)

On the number of critical points of the second eigenfunction of the Laplacian in convex planar domains ⋮ On the Nodal set of a second Dirichlet eigenfunction in a doubly connected domain ⋮ A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity ⋮ The nodal line of the second eigenfunction of the Robin Laplacian in \(\mathbb R^2\) can be closed ⋮ A counterexample to Payne's nodal line conjecture with few holes ⋮ Asymptotic behaviour, nodal lines and symmetry properties for solutions of superlinear elliptic equations near an eigenvalue ⋮ On the number of critical points of solutions of semilinear elliptic equations ⋮ On a property of the nodal set of least energy sign-changing solutions for quasilinear elliptic equations

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