Convex Variational Problems: Linear, nearly Linear and Anisotropic Growth Conditions (Lecture Notes in Mathematics, 1818, Band 1818) - Softcover

Bildhauer, Michael

 
9783540402985: Convex Variational Problems: Linear, nearly Linear and Anisotropic Growth Conditions (Lecture Notes in Mathematics, 1818, Band 1818)
Softcover
ISBN 10: 3540402985 ISBN 13: 9783540402985
Verlag: Springer, 2008

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3540402985
ISBN 13 
9783540402985
Einband
Taschenbuch
Anzahl der Seiten
232
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ISBN 10:  366216809X ISBN 13:  9783662168097
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Softcover