Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons

DOI10.1007/s00030-020-00668-2zbMath1475.35221arXiv2002.08674OpenAlexW3124676954MaRDI QIDQ2226198

Tomáš Dohnal, Giulio Romani

Publication date: 11 February 2021

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.08674

zbMATH Keywords

nonlinear eigenvalue problemLyapunov-Schmidt reductionPT-symmetrynon-selfadjoint operatorsurface plasmon

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) NLS equations (nonlinear Schrödinger equations) (35Q55) Composite media; random media in optics and electromagnetic theory (78A48) Bifurcations in context of PDEs (35B32) Maxwell equations (35Q61)

Related Items (3)

Traveling waves for a quasilinear wave equation ⋮ Justification of the asymptotic coupled mode approximation of out-of-plane gap solitons in Maxwell equations ⋮ Correction to: ``Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons

Cites Work

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• The resistive state in a superconducting wire: Bifurcation from the normal state
• Perturbation theory for linear operators.
• Bifurcation from simple eigenvalues
• Bifurcation of eigenvalues in nonlinear problems with antilinear symmetry
• Struktur der Materie
• Bifurcation theory for Fredholm operators
• Localized Modes of the Linear Periodic Schrödinger Operator with a Nonlocal Perturbation
• Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with 𝒫𝒯-symmetry
• Bifurcation Theory for Analytic Operators

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