The concentration-compactness principle in the calculus of variations. The locally compact case. I

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DOI10.1016/S0294-1449(16)30428-0zbMath0541.49009OpenAlexW1588528702MaRDI QIDQ794261

Pierre-Louis Lions

Publication date: 1984

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1984__1_2_109_0

zbMATH Keywords

concentration-compactness local compactness rotating stars Choquard-Pekar problem minimization problems on unbounded domains nonlinear fields equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Variational principles in infinite-dimensional spaces (58E30) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20) Local compactness, (sigma)-compactness (54D45) Variational principles of physics (49S05)

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