Druck auf Anfrage Neuware - Printed after ordering - The author emphasizes a non-uniform ellipticity condition as the mainapproach toregularity theory for solutions of convex variational problems with different types of non-standard growth conditions.This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a 'solution' is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of thefundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.

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Bibliographic Details

Title: Convex Variational Problems : Linear, nearly Linear and Anisotropic Growth Conditions
Publisher: Springer, Springer Vieweg
Publication Date: 2003
Language: English
ISBN 10: 3540402985
ISBN 13: 9783540402985
Binding: Taschenbuch
Condition: Neu
Dimensions: 235 millimeters width by 155 millimeters height by 13 millimeters depth
Weight: 359 grams

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The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions.

This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.

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