On the structure of periodic eigenvalues of the vectorial p-Laplacian

DOI10.1088/1361-6544/ac5a63zbMath1505.37071arXiv2104.05941OpenAlexW3155918932MaRDI QIDQ5072396

Changjian Liu, Meirong Zhang

Publication date: 28 April 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05941

zbMATH Keywords

eigenfunctionscomplete integrabilityperiodic eigenvaluesHamiltonian systems with two degrees of freedomreduced dynamical systemsscaling angular momentavectorial \(p\)-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Symmetries, invariants of ordinary differential equations (34C14) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Lagrange's equations (70H03) Dynamical systems methods for problems in mechanics (70G60) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Cites Work

• Unnamed Item
• The second eigenfunction of the \(p\)-Laplacian on the disk is not radial
• On some unexpected properties of radial and symmetric eigenvalues and eigenfunctions of the \(p\)-Laplacian on a disk
• The spectrum of the periodic \(p\)-Laplacian
• Quasiperiodic motions in superquadratic time-periodic potentials
• Some remarkable sine and cosine functions
• THE ROTATION NUMBER APPROACH TO EIGENVALUES OF THE ONE-DIMENSIONAL p-LAPLACIAN WITH PERIODIC POTENTIALS
• Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.
• The spectrum of \(p\)-Laplacian systems with various boundary conditions and applications

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