On the spectrum of a mixed-type operator with applications to rotating wave solutions
DOI10.1007/s00526-022-02351-zOpenAlexW4312204899MaRDI QIDQ2680539
Publication date: 4 January 2023
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.05824
nonlinear wave equationBessel functionsrotating wave solutionsindefinite variational settingminimax characterization of the ground state energynonradial ground state
Variational methods involving nonlinear operators (47J30) Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Estimates of eigenvalues in context of PDEs (35P15) Variational methods applied to PDEs (35A15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Symmetries, invariants, etc. in context of PDEs (35B06) Second-order semilinear hyperbolic equations (35L71)
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