Nonlinear Potential Theory of Degenerate Elliptic Equations (Mathematics) - Softcover

Heinonen, Juha

Softcover

ISBN 10: 048682425X ISBN 13: 9780486824253

Verlag: Dover Publications Inc., 2018

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Dover Publications Inc.
• Erscheinungsdatum: 2018
• Sprache: Englisch
• ISBN 10: 048682425X
• ISBN 13: 9780486824253
• Einband: Taschenbuch
• Anzahl der Seiten: 416
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italien