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 |