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