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Convex Variational Problems: Linear, nearly Linear and Anisotropic Growth Conditions de Michael Bildhauer

Convex Variational Problems: Linear, nearly Linear and Anisotropic Growth Conditions: Lecture Notes in Mathematics, cartea 1818

Autor Michael Bildhauer
en Limba Engleză Paperback – 20 iun 2003
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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Specificații

ISBN-13: 9783540402985
ISBN-10: 3540402985
Pagini: 232
Ilustrații: XII, 220 p.
Dimensiuni: 155 x 235 x 12 mm
Greutate: 0.33 kg
Ediția:2003
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

1. Introduction.- 2. Variational problems with linear growth: the general setting.- 3. Variational integrands with ($,\mu ,q$)-growth.- 4. Variational problems with linear growth: the case of $\mu $-elliptic integrands.- 5. Bounded solutions for convex variational problems with a wide range of anisotropy.- 6. Anisotropic linear/superlinear growth in the scalar case.- A. Some remarks on relaxation.- B. Some density results.- C. Brief comments on steady states of generalized Newtonian fluids.- D. Notation and conventions.- References.- Index.

Caracteristici

Includes supplementary material: sn.pub/extras