Nonlinear potential theory of degenerate elliptic equations

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Nonlinear potential theory of degenerate elliptic equations / Juha Heinonen, Tero Kilpeläinen and Olli Martio

資料種別:

図書

出版情報:

Oxford ; Tokyo : Clarendon Press
New York : Oxford University Press, 1993

形態:

v, 363 p. ; 24 cm

シリーズ名:

Oxford mathematical monographs <BA00007466>

著者名:

ISBN:

9780198536697 [0198536690]

書誌ID:

BA19574643

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references and index

主題:

Calculus of variations; Differential equations, Elliptic; Potential theory (Mathematics)

言語:

英語

目次情報:

Introduction

Weighted Sobolev spaces / 1：

Capacity / 2：

Supersolutions and the obstacle problem / 3：

Refined Sobolev spaces / 4：

Variational integrals / 5：

A-harmonic functions / 6：

A superharmonic functions / 7：

Balayage / 8：

Perron's method, barriers, and resolutivity / 9：

Polar sets / 10：

A-harmonic measure / 11：

Fine topology / 12：

Harmonic morphisms / 13：

Quasiregular mappings / 14：

Ap-weights and Jacobians of quasiconformal mappings / 15：

Axiomatic nonlinear potential theory / 16：

Appendix I: The existence of solutions / 17：

Appendix II: The John-Nirenberg lemma / 18：

Bibliography

List of symbols

Index

Introduction

Weighted Sobolev spaces / 1：

Capacity / 2：

Supersolutions and the obstacle problem / 3：

Refined Sobolev spaces / 4：

Variational integrals / 5：

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