A strongly degenerate elliptic equation arising from the semilinear Maxwell equations

DOI10.1016/J.CRMA.2004.07.029zbMath1116.35319OpenAlexW1990765942MaRDI QIDQ1764090

Vieri Benci, Donato Fortunato

Publication date: 23 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.07.029

zbMATH Keywords

variational approachsemilinear elliptic degenerate equationsHodge splitting

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) PDEs in connection with optics and electromagnetic theory (35Q60) Degenerate elliptic equations (35J70) Electromagnetic theory (general) (78A25) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (4)

Sum of weighted Lebesgue spaces and nonlinear elliptic equations ⋮ A nonlinear elliptic equation with singular potential and applications to nonlinear field equations ⋮ A note on a positive solution of a null mass nonlinear field equation in exterior domains ⋮ Solutions in Exterior Domains of Null Mass Nonlinear Field Equations

Cites Work

• Unnamed Item
• Critical point theorems for indefinite functionals
• On the existence of infinitely many geodesics on space-time manifolds
• Towards a unified field theory for classical electrodynamics
• Stationary states of the nonlinear Dirac equation: A variational approach

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