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Convex Variational Problems Linear Nearly Linear And Anisotropic Growth Conditions Michael Bildhauer

  • SKU: BELL-38206264
Convex Variational Problems Linear Nearly Linear And Anisotropic Growth Conditions Michael Bildhauer
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Convex Variational Problems Linear Nearly Linear And Anisotropic Growth Conditions Michael Bildhauer instant download after payment.

Publisher: Springer
File Extension: PDF
File size: 2.7 MB
Pages: 220
Author: Michael Bildhauer
ISBN: 9783540402985, 3540402985
Language: English
Year: 2003

Product desciption

Convex Variational Problems Linear Nearly Linear And Anisotropic Growth Conditions Michael Bildhauer by Michael Bildhauer 9783540402985, 3540402985 instant download after payment.

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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