Ground state solutions for semilinear time-harmonic Maxwell equations

DOI10.1063/1.4947179zbMath1339.35307OpenAlexW2343662729MaRDI QIDQ2804957

Dongdong Qin, Xian Hua Tang

Publication date: 9 May 2016

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

Full work available at URL: https://doi.org/10.1063/1.4947179

zbMATH Keywords

Nehari manifoldtime-harmonic semilinear Maxwell equation

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Lasers, masers, optical bistability, nonlinear optics (78A60) Electromagnetic theory (general) (78A25) Waves and radiation in optics and electromagnetic theory (78A40) Semilinear elliptic equations (35J61) Maxwell equations (35Q61) Boundary value problems for second-order elliptic systems (35J57) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (6)

Time-harmonic Maxwell equations with asymptotically linear polarization ⋮ Cylindrically symmetric solutions of curl-curl equation with nonlocal nonlinearity ⋮ Existence and concentration properties of ground state solutions for elliptic systems ⋮ Nonlinear time-harmonic Maxwell equations in domains ⋮ Existence and multiplicity of solutions for \(p(x)\)-curl systems arising in electromagnetism ⋮ Variational and operator methods for Maxwell-Stokes system

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