Convex Variational Problems: Linear, Nearly Linear and Anisotropic Growth Conditions - Lecture Notes in Mathematics - Michael Bildhauer - Grāmatas - Springer-Verlag Berlin and Heidelberg Gm - 9783540402985 - 2003. gada 20. jūnijs
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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

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 2003. gada 20. jūnijs
ISBN13 9783540402985
Izdevēji Springer-Verlag Berlin and Heidelberg Gm
Lapas 220
Izmēri 156 × 234 × 12 mm   ·   331 g
Valoda Angļu  

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