Variational problems are part of our classical cultural heritage. The book gives an introduction to variational methods and presents on overview of areas of current research in this field. Particular topics included are the direct methods including lower semi-continuity results, the compensated compactness method, the concentration compactness method, Ekeland's variational principle, and duality methods or minimax methods, including the mountain pass theorems, index theory, perturbation theory, linking and extensions...
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