Bifurcation of eigenvalues in nonlinear problems with antilinear symmetry

DOI10.1063/1.4962417zbMath1347.81043arXiv1504.00054OpenAlexW2519854109MaRDI QIDQ2825564

Tomáš Dohnal, Petr Siegl

Publication date: 13 October 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00054

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Statistical mechanics of superconductors (82D55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lasers, masers, optical bistability, nonlinear optics (78A60) Bifurcations in context of PDEs (35B32) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (4)

On nonexistence of continuous families of stationary nonlinear modes for a class of complex potentials ⋮ Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons ⋮ Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with 𝒫𝒯-symmetry ⋮ Justification of the asymptotic coupled mode approximation of out-of-plane gap solitons in Maxwell equations

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