Titlebook: Parametrized Measures and Variational Principles; Pablo Pedregal Book 1997 Springer Basel AG 1997 Applied Mathematics.Calculus of variatio

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Pablo Pedregalübersichtlichen Schlüsselbegriffen werden die Grundlagen erläutert. Die Erklärungen sind kompakt und verständlich formuliert und bieten Basiswissen für alle, die einen schnellen Einstieg in die Praxis suchen, sich für Preis- und Produktpolitik interessieren oder ihr vorhandenes Wissen auffrischen möchten..978-3-658-27905-9978-3-658-27906-6

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Introduction,egrals defined over infinite dimensional spaces. Historically, these problems were tackled and in many instances solved through the associated Euler-Lagrange equation, which is the analogue of the critical point condition for functions defined over finite dimensional spaces. This condition usually l

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Some Variational Problems,lementary way. It is a good way of practicing with the general ideas we will pursue for more complicated situations in subsequent chapters. For this reason we do not pretend to give the sharpest hypotheses under which theorems can be proved or improved, but rather focus on understanding the main tec

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The Calculus of Variations under Convexity Assumptions,o be an open, regular, bounded domain of...The admissible functions .:Ω → .. belong to some reflexive Sobolev space and they may satisfy some other restriction like having the boundary values prescribed.The integrand .:Ω × .. × .. → . * is assumed to be a Carathéodory function. By this we simply mea

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Analysis of Gradient Parametrized Measures,ssociated to sequences of gradients. Parametrized measures associated to sequences of gradients are called gradient parametrized measures. In particular, we would like to prove a characterization for parametrized measures coming from a sequence of gradients.

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