Regularity Theory for Elliptic PDE
Xavier Fernández-Real
École Polytechnique Fédérale de Lausanne, SwitzerlandXavier Ros-Oton
ICREA; Universitat de Barcelona; and Centre de Recerca Matemàtica, Spain
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| Front MatterDownload pp. i–iv | |
| PrefaceDownload pp. v–vi | |
| ContentsDownload pp. vii–viii | |
| 1 | Overview and preliminariespp. 1–23 |
| 2 | Linear elliptic PDEpp. 25–71 |
| 3 | Nonlinear variational PDE and Hilbert’s XIXth problempp. 73–97 |
| 4 | Fully nonlinear elliptic PDEpp. 99–125 |
| 5 | The obstacle problempp. 127–180 |
| A | Some properties of Hölder spacespp. 181–191 |
| B | Proof of the boundary Harnack inequalitypp. 193–201 |
| C | Probabilistic interpretation of fully nonlinear equationspp. 203–210 |
| D | Motivations and applications for the obstacle problempp. 211–217 |
| Referencespp. 221–225 | |
| Indexpp. 227–228 |