Convex Variational Problems

Michael Bildhauer

ISBN 10: 3540402985 / ISBN 13: 9783540402985

Published by Springer Berlin Heidelberg Jun 2003, 2003

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 232 pp. Englisch.

Seller Inventory # 9783540402985

Bibliographic Details

• Title: Convex Variational Problems
• Publisher: Springer Berlin Heidelberg Jun 2003
• Publication Date: 2003
• Language: English
• ISBN 10: 3540402985
• ISBN 13: 9783540402985
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 13D millimeters 235 millimeters width by 155 millimeters height by 13 millimeters depth
• Weight: 359 grams

About this title

Synopsis

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.