Convex Variational Problems: Linear, Nearly Linear and Anisotropic Growth Conditions - Lecture Notes in Mathematics - Michael Bildhauer - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783540402985 - June 20, 2003
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Michael Bildhauer
Convex Variational Problems: Linear, Nearly Linear and Anisotropic Growth Conditions - Lecture Notes in Mathematics 2003 edition

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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.

220 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released June 20, 2003
ISBN13 9783540402985
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 220
Dimensions 156 × 234 × 12 mm   ·   331 g
Language English  

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