The fractional Hartree equation without the Ambrosetti-Rabinowitz condition

DOI10.1016/j.nonrwa.2016.07.008zbMath1352.35136arXiv1606.08211OpenAlexW2964123075MaRDI QIDQ321979

Dimitri Mugnai, Mauro Francesconi

Publication date: 14 October 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.08211

zbMATH Keywords

Ambrosetti-Rabinowitz conditionsuperlinear reactionpseudo-relativistic Hartree equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Galactic and stellar structure (85A15) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Fractional partial differential equations (35R11)

Related Items (4)

Nontrivial solutions of a class of fractional differential equations with \(p\)-Laplacian via variational methods ⋮ On some fractional equations with convex-concave and logistic-type nonlinearities ⋮ A new investigation on fractional-ordered neutral differential systems with state-dependent delay ⋮ Fractional Choquard equations with confining potential with or without subcritical perturbations

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