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 Algebraic Theories by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Edible Wild Plants of Eastern North America by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Spanish-American Poetry (Dual-Language) by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book The Art of Fresco Painting in the Middle Ages and the Renaissance by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Make in a Day: Centerpieces by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Summation of Series by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book American Notes by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Arabian Nights Illustrated by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Eleven Short Stories by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Selections from Don Quixote by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Henry von Ofterdingen by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book The Suicide Club by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book An Investigation of the Laws of Thought by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book Essential Works of Lenin by Juha Heinonen, Olli Martio, Tero Kilpeläinen
Cover of the book A Treasury of Early Music 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