A multiplicity result for the problem \(\delta d\xi = f^{\prime} (\langle \xi ,\xi \rangle )\xi\)

DOI10.1016/J.NA.2007.01.007zbMath1135.58012arXivmath/0701757OpenAlexW26127444MaRDI QIDQ2474843

Antonio Azzollini

Publication date: 6 March 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701757

zbMATH Keywords

strongly indefinite functionalstrong convexitysemilinear Maxwell equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Electromagnetic theory (general) (78A25) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Variational principles of physics (49S05)

Cites Work

• Unnamed Item
• Nonlinear scalar field equations. I: Existence of a ground state
• Towards a unified field theory for classical electrodynamics
• Dual variational methods in critical point theory and applications
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity

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