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\(\Gamma\)-convergence and the concentration-compactness method for some variational problems with lack of compactness

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Publication:1812547
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zbMath0829.49010MaRDI QIDQ1812547

Maria J. Esteban, Pierre-Louis Lions

Publication date: 25 June 1992

Published in: Ricerche di Matematica (Search for Journal in Brave)


zbMATH Keywords

concentration-compactness methodgamma-convergencevariational integrals


Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for second-order elliptic equations (35J20)


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On the existence of a positive solution of semilinear elliptic equations in unbounded domains, A critical value function and applications to semilinear elliptic equations on unbounded domains, A mathematical programming problem with singular mixed pointwise-integral constraints, Solutions of Hartree-Fock equations for Coulomb systems, Uniform concentration-compactness for Sobolev spaces on variable domains



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