Cylindrically symmetric ground state solutions for curl-curl equations with critical exponent

DOI10.1007/s00033-017-0887-4zbMath1397.35104arXiv1609.09598OpenAlexW3105857103MaRDI QIDQ680172

Xiaoyu Zeng

Publication date: 22 January 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.09598

zbMATH Keywords

critical exponentcylindrical symmetryground state solutionscurl-curl equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (11)

Nonlinear time-harmonic Maxwell equations in a bounded domain: lack of compactness ⋮ Generalized linking-type theorem with applications to strongly indefinite problems with sign-changing nonlinearities ⋮ Cylindrically symmetric solutions of curl-curl equation with nonlocal nonlinearity ⋮ Multiple Solutions to Cylindrically Symmetric Curl-Curl Problems and Related Schrödinger Equations with Singular Potentials ⋮ Multiple cylindrically symmetric solutions of nonlinear Maxwell equations ⋮ Nonlinear curl-curl problems in $\mathbb{R}^3$ ⋮ 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 \({\mathbb{R}}^3\) ⋮ 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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