Convex Variational Problems: Linear, Nearly Linear And Anisotropic Growth Conditions (Lecture Notes In Mathematics) - Michael Bildhauer
Springer (2003)
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Calculus of variations, Differential equations, Elliptic - Numerical solutions

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.

Product Details
LoC Classification QA3.L28 .no. 1818
Dewey 515.64
Format Paperback
Cover Price 50,00 €
No. of Pages 217
Height x Width 234 x 154 mm
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