Nonlinear potential theory of degenerate elliptic equations

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A self-contained treatment appropriate for advanced undergraduate and graduate students, this volume offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions.
Starting with the theory of weighted Sobolev spaces, the text advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions and supersolutions of equations, with emphasis on refined Sobolev spaces, variational integrals, and harmonic functions. Chapter 7 defines superharmonic functions via the comparison principle, and chapters 8 through 14 form the core of the nonlinear potential theory of superharmonic functions. Topics include balayage; Perron's method, barriers, and resolutivity; polar sets; harmonic measure; fine topology; harmonic morphisms; and quasiregular mappings. The book concludes with explorations of axiomatic nonlinear potential theory and helpful appendixes.

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Oorspronkelijke releasedatum: 29 juni 2018

Aantal pagina's: 416

Hoofdauteur: Juha Heinonen

Tweede Auteur: Tero Kipelainen

Co Auteur: Tero Kilpelainen

Hoofduitgeverij: Dover Publications Inc.

Originele titel: Nonlinear Potential Theory of Degenerate Elliptic Equations

Product breedte: 140 mm

Product lengte: 216 mm

Verpakking breedte: 140 mm

Verpakking hoogte: 23 mm

Verpakking lengte: 216 mm

Verpakkingsgewicht: 476 g

EAN: 9780486824253

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