Travelling waves for Maxwell's equations in nonlinear and nonsymmetric media
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Publication:2699148
DOI10.1007/s00030-022-00824-wOpenAlexW4313421485MaRDI QIDQ2699148
Jarosław Mederski, Wolfgang Reichel
Publication date: 26 April 2023
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.15146
Variational methods involving nonlinear operators (47J30) PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods for second-order elliptic equations (35J20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)
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Cites Work
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- Ground states of time-harmonic semilinear Maxwell equations in \(\mathbb R^3\) with vanishing permittivity
- Ground states of a nonlinear curl-curl problem in cylindrically symmetric media
- Nonlinear time-harmonic Maxwell equations in domains
- Characteristic values associated with a class of nonlinear second-order differential equations
- Modelling axi-symmetric travelling waves in a dielectric with nonlinear refractive index
- Periodic nonlinear Schrödinger equation with application to photonic crystals
- Critical point theorems for indefinite functionals
- Self-trapping of an electromagnetic field and bifurcation from the essential spectrum
- ``Mass concentration phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity. II
- Guidance properties of nonlinear planar waveguides
- A constrained minimization problem and its application to guided cylindrical TM-modes in an anisotropic self-focusing dielectric
- Minimax theorems
- Ground and bound state solutions of semilinear time-harmonic Maxwell equations in a bounded domain
- Dual variational methods in critical point theory and applications
- Multiple solutions to a nonlinear curl-curl problem in \({\mathbb{R}}^3\)
- Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium
- Ground states of a system of nonlinear Schrödinger equations with periodic potentials
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- EXISTENCE OF GUIDED CYLINDRICAL TM-MODES IN AN INHOMOGENEOUS SELF-FOCUSING DIELECTRIC
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- Description of the lack of compactness for the Sobolev imbedding
- A Variational Problem Related to Self-trapping of an Electromagnetic Field
- Nonradial solutions of nonlinear scalar field equations
- Remarks on the Blowup for the $L^2$‐Critical Nonlinear Schrödinger Equations
- Axisymmetric TE-Modes in a Self-focusing Dielectric
- Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric
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