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Convex Variational Problems: Linear, Nearly Linear and Anisotropic Growth Conditions
Paperback
Series: Lecture Notes in Mathematics, Book 1818
ISBN13: 9783540402985
Publisher: Springer Nature
Published: Jun 20 2003
Pages: 220
Weight: 0.73
Height: 0.49 Width: 6.14 Depth: 9.21
Language: English
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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