书目名称 | Convex Variational Problems |
副标题 | Linear, nearly Linea |
编辑 | Michael Bildhauer |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2003 |
关键词 | Non-standard growth; Smooth function; anisotropic growth; linear growth; minimizers; regularity; partial d |
版次 | 1 |
doi | https://doi.org/10.1007/b12308 |
isbn_softcover | 978-3-540-40298-5 |
isbn_ebook | 978-3-540-44885-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2003 |