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9780198536697

Nonlinear Potential Theory of Degenerate Elliptic Equations

by ; ;
  • ISBN13:

    9780198536697

  • ISBN10:

    0198536690

  • Format: Hardcover
  • Copyright: 1993-01-28
  • Publisher: Oxford University Press
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List Price: $149.33

Summary

This text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. Topics include the theory of weighted variational capacity; solutions and supersolutions of equation; balayage; Perron's method, barriers, and resolutivity; polar sets; harmonic measure; fine topology; more. 1993 edition.

Table of Contents

Introduction
Weighted Sobolev spaces
Capacity
Supersolutions and the obstacle problem
Refined Sobolev spaces
Variational integrals
A-harmonic functions
A superharmonic functions
Balayage
Perron's method, barriers, and resolutivity
Polar sets
A-harmonic measure
Fine topology
Harmonic morphisms
Quasiregular mappings
Ap-weights and Jacobians of quasiconformal mappings
Axiomatic nonlinear potential theory
Appendix I: The existence of solutions
Appendix II: The John-Nirenberg lemma
Bibliography
List of symbols
Index
Table of Contents provided by Publisher. All Rights Reserved.

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