Nonlinear Potential Theory of Degenerate Elliptic Equations - Brossura

Heinonen, Juha; Kipelainen, Tero; Martio, Olli

Brossura

ISBN 10: 048682425X ISBN 13: 9780486824253

Casa editrice: Dover Pubns, 2018

Riassunto

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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Dettagli dell?edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 048682425X
• ISBN 13: 9780486824253
• Rilegatura: Copertina flessibile
• Numero di pagine: 404
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia