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Principe de concentration-compacite en calcul des variations. (French) Zbl 0485.49005

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