6533b85dfe1ef96bd12bdcd1
RESEARCH PRODUCT
Removable sets for continuous solutions of quasilinear elliptic equations
Tero KilpeläinenXiao Zhongsubject
Null setElliptic curveHarmonic functionApplied MathematicsGeneral MathematicsMathematical analysisHölder conditionLaplace operatorMathematicsHarnack's inequalitydescription
We show that sets of n − p + α ( p − 1 ) n-p+\alpha (p-1) Hausdorff measure zero are removable for α \alpha -Hölder continuous solutions to quasilinear elliptic equations similar to the p p -Laplacian. The result is optimal. We also treat larger sets in terms of a growth condition. In particular, our results apply to quasiregular mappings.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-10-24 | Proceedings of the American Mathematical Society |