A constrained minimization problem and its application to guided cylindrical TM-modes in an anisotropic self-focusing dielectric

DOI10.1007/S005260100153zbMath1036.49004OpenAlexW2020554934MaRDI QIDQ1404452

Huan-Song Zhou, Charles A. Stuart

Publication date: 21 August 2003

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260100153

zbMATH Keywords

nonlinear opticsminimizercylindrical wave guideguided TM-modes

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (12)

Nonhomogeneous quasilinear elliptic problems: linear and sublinear cases ⋮ Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium ⋮ Ground state solution of weakly coupled time-harmonic Maxwell equations ⋮ The Brezis-Nirenberg problem for the curl-curl operator ⋮ Travelling waves for Maxwell's equations in nonlinear and nonsymmetric media ⋮ Nonlinear curl-curl problems in $\mathbb{R}^3$ ⋮ Nonlinear time-harmonic Maxwell equations in domains ⋮ Ground and bound state solutions of semilinear time-harmonic Maxwell equations in a bounded domain ⋮ Ground state solutions for quasilinear scalar field equations arising in nonlinear optics ⋮ EXISTENCE OF GUIDED CYLINDRICAL TM-MODES IN AN INHOMOGENEOUS SELF-FOCUSING DIELECTRIC ⋮ Variational and operator methods for Maxwell-Stokes system ⋮ Infinitely many cylindrically symmetric solutions of nonlinear Maxwell equations with concave and convex nonlinearities

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