Nonlinear Potential Theory on Metric Spaces

  • Anders Björn

    Linköping University, Sweden
  • Jana Björn

    Linköping University, Sweden
Nonlinear Potential Theory on Metric Spaces cover
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FrontmatterDownload pp. i–iv
PrefaceDownload pp. v–viii
ContentsDownload pp. ix–xii
1Newtonian spacespp. 1–36
2Minimal -weak upper gradientspp. 37–64
3Doubling measurespp. 65–83
4Poincaré inequalitiespp. 84–115
5Properties of Newtonian functionspp. 116–153
6Capacitiespp. 154–169
7Superminimizerspp. 170–190
8Interior regularitypp. 191–217
9Superharmonic functionspp. 218–248
10The Dirichlet problem for -harmonic functionspp. 249–276
11Boundary regularitypp. 277–302
12Removable singularitiespp. 303–317
13Irregular boundary pointspp. 318–328
14Regular sets and applications thereofpp. 329–335
AExamplespp. 337–359
BHajłasz–Sobolev and Cheeger–Sobolev spacespp. 360–364
CQuasiminimizerspp. 365–368
Bibliographypp. 369–388
Indexpp. 389–403