Time-harmonic Maxwell equations with asymptotically linear polarization
From MaRDI portal
Publication:322087
DOI10.1007/s00033-016-0626-2zbMath1351.35207OpenAlexW2338287386MaRDI QIDQ322087
Publication date: 14 October 2016
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-016-0626-2
ground stateasymptotically linearstrongly indefinite functionaltime-harmonic Maxwell equationsNehari-Pankov manifold
PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)
Related Items (9)
Cylindrically symmetric solutions of curl-curl equation with nonlocal nonlinearity ⋮ Multiple cylindrically symmetric solutions of nonlinear Maxwell equations ⋮ Existence and concentration properties of ground state solutions for elliptic systems ⋮ Periodic motion for FPU lattice dynamical systems with the strongly indefinite case ⋮ Existence of least energy sign-changing solution for the nonlinear Schrödinger system with two types of nonlocal terms ⋮ Cylindrically symmetric ground state solutions for curl-curl equations with critical exponent ⋮ Nonlinear time-harmonic Maxwell equations in domains ⋮ Ground state solutions for semilinear time-harmonic Maxwell equations ⋮ Infinitely many cylindrically symmetric solutions of nonlinear Maxwell equations with concave and convex nonlinearities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solutions on asymptotically periodic elliptic system with new conditions
- Ground state solution and multiple solutions to asymptotically linear Schrödinger equations
- Ground states of time-harmonic semilinear Maxwell equations in \(\mathbb R^3\) with vanishing permittivity
- Non-Nehari manifold method for superlinear Schrödinger equation
- Inverse problems for the anisotropic Maxwell equations
- Magnetostatic solutions for a semilinear perturbation of the Maxwell equations
- Photonic crystals. Mathematical analysis and numerical approximation.
- Superlinear Schrödinger operators
- Ground state solutions for a periodic Schrödinger equation with superlinear nonlinearities
- Periodic nonlinear Schrödinger equation with application to photonic crystals
- Existence of static solutions of the semilinear Maxwell equations
- Ground state solutions for some indefinite variational problems
- Critical point theorems for indefinite functionals
- Self-trapping of an electromagnetic field and bifurcation from the essential spectrum
- Guidance properties of nonlinear planar waveguides
- Towards a unified field theory for classical electrodynamics
- On the variational principle
- Minimax theorems
- New conditions on nonlinearity for a periodic Schrödinger equation having zero as spectrum
- Ground and bound state solutions of semilinear time-harmonic Maxwell equations in a bounded domain
- Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium
- Ground state solutions for semilinear time-harmonic Maxwell equations
- Eigendecomposition of the Discrete Double-Curl Operator with Application to Fast Eigensolver for Three-Dimensional Photonic Crystals
- New Super-quadratic Conditions on Ground State Solutions for Superlinear Schrödinger Equation
- Ground State Solutions of Nehari–Pankov Type for a Superlinear Hamiltonian Elliptic System on ℝN
- EXISTENCE OF GUIDED CYLINDRICAL TM-MODES IN AN INHOMOGENEOUS SELF-FOCUSING DIELECTRIC
- Deformation theorems on non-metrizable vector spaces and applications to critical point theory
- Vector potentials in three-dimensional non-smooth domains
- Convergence Analysis of a Finite Volume Method for Maxwell's Equations in Nonhomogeneous Media
- ON UNIQUENESS FOR TIME HARMONIC ANISOTROPIC MAXWELL'S EQUATIONS WITH PIECEWISE REGULAR COEFFICIENTS
- A Variational Problem Related to Self-trapping of an Electromagnetic Field
- Foundations of the new field theory
- Finite Element Methods for Maxwell's Equations
- NON-NEHARI-MANIFOLD METHOD FOR ASYMPTOTICALLY LINEAR SCHRÖDINGER EQUATION
- Axisymmetric TE-Modes in a Self-focusing Dielectric
This page was built for publication: Time-harmonic Maxwell equations with asymptotically linear polarization
