Schrödinger-Poisson systems in \(4\)-dimensional closed manifolds

DOI10.3934/dcds.2016.36.2257zbMath1328.58016OpenAlexW2525743436MaRDI QIDQ887706

Pierre-Damien Thizy

Publication date: 27 October 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.2257

zbMATH Keywords

solitary wavescritical systemsanalysis on manifoldsSchrödinger-Poissonnon-resonant statesnonlinear elliptic PDE's

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Perturbations of PDEs on manifolds; asymptotics (58J37) Second-order elliptic systems (35J47) Maxwell equations (35Q61) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on manifolds (35R01)

Related Items

Schrödinger-Maxwell systems on non-compact Riemannian manifolds, Schrödinger–Poisson–Proca systems in EMS regime, Strong convergence of the Bopp-Podolsky-Schrödinger-Proca system to the Schrödinger-Poisson-Proca system in the electro-magneto-static case, Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case, Blow-up for Schrödinger-Poisson critical systems in dimensions 4 and 5

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