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Nonlinear Potential Theory of Degenerate Elliptic Equations Olli Martio, Juha Heinonen, Tero Kipelainen DOVER | korfiatisbooks.gr
Olli Martio, Juha Heinonen, Tero KipelainenNonlinear Potential Theory of Degenerate Elliptic EquationsΜαθηματικάΞενόγλωσσα
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ISBN9780486824253
ΕκδόσειςDOVER
Έτος έκδοσηςΔΕΚΕΜΒΡΙΟΣ 2018
Διαστάσεις14Χ21 εκ.
Σελίδες404
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Περιγραφή

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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Δωρεάν έξοδα αποστολής για αγορές 30 ευρώ και άνω