Convex Variational Problems Linear, nearly Linear and Anisotropic Growth Conditions /

• Κύριος συγγραφέας: Bildhauer, Michael (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Έκδοση: 1st ed. 2003.
• Σειρά: Lecture Notes in Mathematics, 1818
• Θέματα: Calculus of variations.; Partial differential equations.; Calculus of Variations and Optimal Control; Optimization.; Partial Differential Equations.

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...

Πίνακας περιεχομένων:

• 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.