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Convex Variational Problems : Linear

nearly Linear and Anisotropic Growth Conditions

Printed Book
SR 259
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Author:Bildhauer, Michael
Date of Publication: 2003
Book classification:Science & Mathematics,English Books
No. of pages:232 Pages
Format:Paperback

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About this Product

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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SKU9783540402985
Manufacturer Number9783540402985
year published2003
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