We consider continous functions in euclidean domains that are solutions of a nonlinear mean value property related to the infinity laplacian. It is proved that such functions must satisfy a restricted unique continuation principle in the sense that if they vanish on a ball, they must vanish on the whole domain.
|Journal||Annales Academiae Scientiarum Fennicae Mathematica|
|Publication status||Published - 19 Feb 2014|
- Infinity laplacian
- Mean value property
- Unique continuation
Llorente, J. G. (2014). A note on unique continuation for solutions of the ∞-mean value property. Annales Academiae Scientiarum Fennicae Mathematica, 39, 473-483. https://doi.org/10.5186/aasfm.2014.3914