Blow-up for Schrödinger-Poisson critical systems in dimensions 4 and 5

DOI10.1007/S00526-016-0959-XzbMath1337.58015OpenAlexW2266771272MaRDI QIDQ262195

Pierre-Damien Thizy

Publication date: 29 March 2016

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-016-0959-x

zbMATH Keywords

blow-upSchrödinger-Poisson system

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence of solutions for minimax problems (49J35) Elliptic equations on manifolds, general theory (58J05) Second-order elliptic systems (35J47) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Maxwell equations (35Q61) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on manifolds (35R01)

Related Items (5)

Schrödinger-Maxwell systems on non-compact Riemannian manifolds ⋮ Schrödinger–Poisson–Proca systems in EMS regime ⋮ Schrödinger-Poisson systems in \(4\)-dimensional closed manifolds ⋮ 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

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