scientific article

zbMath0485.49005MaRDI QIDQ3945120

Pierre-Louis Lions

Publication date: 1982

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zbMATH Keywords

minimizing sequencesminimization problems in unbounded domainsprinciple of concentration- compactness

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Optimality conditions for free problems in two or more independent variables (49K10)

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The concentration-compactness principle in the calculus of variations. The locally compact case. II ⋮ The nonlinear Schrödinger equation for orthonormal functions: existence of ground states ⋮ Orbital stability of standing waves for some nonlinear Schrödinger equations ⋮ A variational approach to bifurcation in \(L^ p \)on an unbounded symmetrical domain ⋮ Stable standing waves of nonlinear Klein-Gordon equations ⋮ The concentration-compactness principle in the calculus of variations. The locally compact case. I ⋮ Minimum action solutions of some vector field equations

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