A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions.<BR>Starting with the theory of weighted Sobolev spaces, this trea
Nonlinear Potential Theory of Degenerate Elliptic Equations
β Scribed by Juha Heinonen, Tero Kilpelainen, Olli Martio
- Publisher
- Dover Publications
- Year
- 2006
- Tongue
- English
- Leaves
- 413
- Edition
- Reprint
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Subjects
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π SIMILAR VOLUMES
This volume is the first to be devoted to the study of various properties of wide classes of degenerate elliptic operators of arbitrary order and pseudo-differential operators with multiple characteristics. Conditions for operators to be Fredholm in appropriate weighted Sobolev spaces are given, <em
In this book we are concerned with methods of the variational calculus which are directly related to the theory of partial differential equations of elliptic type. The meth- ods which we discuss and describe here go far beyond elliptic equations. In particular, these methods can be applied to