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