Isbn: 9783540402985 - convex variational problems: linear, nearly linear and anisotropic growth conditions (lecture notes in mathematics, 1818, band 1818) (3 Ergebnisse)

Softcover. Zustand: Sehr gut. Berlin, Springer (2003). gr.8°. X, 217 p. Pbck. Lecture Notes in Mathematics, 1818.- Incl. bibliography.

Zustand: New. In English.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The author emphasizes a non-uniform ellipticity condition as the mainapproach toregularity 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 thefundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.…