Nonlinear Potential Theory of Degenerate Elliptic Equations

Nonfiction, Science & Nature, Mathematics, Game Theory
Cover of the book Nonlinear Potential Theory of Degenerate Elliptic Equations by Juha Heinonen, Olli Martio, Tero Kilpeläinen, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Juha Heinonen, Olli Martio, Tero Kilpeläinen ISBN: 9780486149257
Publisher: Dover Publications Publication: September 19, 2012
Imprint: Dover Publications Language: English
Author: Juha Heinonen, Olli Martio, Tero Kilpeläinen
ISBN: 9780486149257
Publisher: Dover Publications
Publication: September 19, 2012
Imprint: Dover Publications
Language: English

A self-contained treatment appropriate for advanced undergraduates and graduate students, this text 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, this treatment 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 text concludes with explorations of axiomatic nonlinear potential theory and helpful appendixes.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

A self-contained treatment appropriate for advanced undergraduates and graduate students, this text 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, this treatment 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 text concludes with explorations of axiomatic nonlinear potential theory and helpful appendixes.

More books from Dover Publications

Cover of the book Oscar Wilde's Wit and Wisdom by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book The Subjectivity of Scientists and the Bayesian Approach by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Liberty and the News by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Nonlinear Functional Analysis by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Calculus of Variations by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Recursive Analysis by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Letters to a Friend by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Beyond Psychology by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Phèdre by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Wood-Frame House Construction by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Children's Fashions of the Past in Photographs by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book The American Claimant by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Ascent of Mount Carmel by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Fourier Analysis in Several Complex Variables by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Elementary Point-Set Topology by Juha Heinonen, Olli Martio, Tero Kilpeläinen
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy