The second eigenfunction of the \(p\)-Laplacian on the disk is not radial
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Publication:435867
DOI10.1016/j.na.2011.06.012zbMath1251.35057OpenAlexW1997836340MaRDI QIDQ435867
Jiří Benedikt, Pavel Drábek, Petr Girg
Publication date: 12 July 2012
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.06.012
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Eigenvalue problems for linear operators (47A75) General theory of partial differential operators (47F05) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (7)
Nonradiality of second eigenfunctions of the fractional Laplacian in a ball ⋮ On the structure of periodic eigenvalues of the vectorial p-Laplacian ⋮ On multiplicity of eigenvalues and symmetry of eigenfunctions of the \(p\)-Laplacian ⋮ Computing the first eigenpair of the \(p\)-Laplacian in annuli ⋮ Lower Bounds for the Principal Eigenvalue of the p-Laplacian on the Unit Ball ⋮ On some unexpected properties of radial and symmetric eigenvalues and eigenfunctions of the \(p\)-Laplacian on a disk ⋮ On the structure of the second eigenfunctions of the $p$-Laplacian on a ball
Cites Work
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- Resonance problems for the \(p\)-Laplacian
- On two conjectures in the fixed membrane eigenvalue problem
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- Introduction to Interval Analysis
- On the eigenvalues of the $p$-Laplacian with varying $p$
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