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020    9780486830469|q(epub) 
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040    CtWfDGI|beng|erda|cCtWfDGI 
050  4 QA404.7 
082 04 515/.96|223 
100 1  Heinonen, Juha,|eauthor. 
245 10 Nonlinear Potential Theory of Degenerate Elliptic 
       Equations /|cJuha Heinonen. 
264  1 [Place of publication not identified] :|bDover 
       Publications,|c[2018] 
264  4 |c©2018 
300    1 online resource (416 pages) 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
506    Access limited to subscribing institutions. 
520    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. 
588 0  Print version record. 
650  0 Calculus of variations. 
650  0 Differential equations, Elliptic. 
650  0 Potential theory (Mathematics) 
650  7 MATHEMATICS / Functional Analysis.|2bisacsh 
655  0 Electronic books. 
700 1  Kilpeläinen, Tero,|eauthor. 
700 1  Martio, O.|q(Olli),|eauthor. 
776 08 |iPrint version:|aHeinonen, Juha.|tNonlinear potential 
       theory of degenerate elliptic equations.|dMineola, New 
       York : Dover Publications, Inc., 2018.|z9780486824253 
       (pbk.)|w(DLC)2017053600 
914    frd00023282