Titlebook: Direct Methods in the Calculus of Variations; Bernard Dacorogna Book 19891st edition Springer-Verlag Berlin Heidelberg 1989 Calculus of Va

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Introduction,In this book we shall be concerned with one of the central problems of the calculus of variations which is to find among all functions with prescribed boundary condition, those which minimize a given functional.

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Preliminaries,In this section we only give the definitions and main theorems that we shall need in the next chapters. Most of the theorems are standard and their proofs as well as a deeper analysis are available in several classical textbooks.

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General Setting and the Scalar Case,In the first section of this chapter we start with abstract considerations.

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https://doi.org/10.1007/978-3-642-51440-1Calculus of Variations; Convexity; Sobolev space; calculus; linear optimization; minimum; partial differen

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Direct Methods in the Calculus of Variations978-3-642-51440-1Series ISSN 0066-5452 Series E-ISSN 2196-968X