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On nodal line of the second eigenfunction of the Laplacian over concave domains in \(\mathbb R^2\)

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Publication:394495
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DOI10.1007/s11424-013-1175-9zbMath1282.35264OpenAlexW2034967541MaRDI QIDQ394495

Bao-Zhu Guo, Dong-Hui Yang

Publication date: 27 January 2014

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-013-1175-9


zbMATH Keywords

eigenvalueLaplacianeigenfunction


Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20)


Related Items (2)

On the Nodal set of a second Dirichlet eigenfunction in a doubly connected domain ⋮ A counterexample to Payne's nodal line conjecture with few holes



Cites Work

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  • On nodal lines of Neumann eigenfunctions
  • On two conjectures in the fixed membrane eigenvalue problem
  • Unbounded planar domains whose second nodal line does not touch the boundary
  • Courant's Nodal Line Theorem and Its Discrete Counterparts
  • Isoperimetric Inequalities and Their Applications
  • The nodal surface of the second eigenfunction of the Laplacian in \(\mathbb{R}^D\) can be closed




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