Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients

DOI10.4171/ZAA/1595zbMath1397.35099arXiv1606.04415MaRDI QIDQ1687849

Wolfgang Reichel, Andreas Hirsch

Publication date: 4 January 2018

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.04415

zbMATH Keywords

variational methodsnonlinear elliptic equationscylindrical symmetrycurl-curl problem

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) PDEs in connection with optics and electromagnetic theory (35Q60) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (9)

Ground states for Maxwell's equations in nonlocal nonlinear media ⋮ Multiple Solutions to Cylindrically Symmetric Curl-Curl Problems and Related Schrödinger Equations with Singular Potentials ⋮ A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients ⋮ The Brezis-Nirenberg problem for the curl-curl operator ⋮ Nonlinear curl-curl problems in $\mathbb{R}^3$ ⋮ Cylindrically symmetric ground state solutions for curl-curl equations with critical exponent ⋮ Nonlinear time-harmonic Maxwell equations in domains ⋮ Uncountably many solutions for nonlinear Helmholtz and curl-curl equations ⋮ Multiple solutions to a nonlinear curl-curl problem in \({\mathbb{R}}^3\)

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