A NOTE ON UNIQUE CONTINUATION FOR SOLUTIONS OF THE infinity-MEAN VALUE PROPERTY

作者：Llorente Jose G^*

来源：Annales Academiae Scientiarum Fennicae-Mathematica, 2014, 39(1): 473-483.

DOI：10.5186/aasfm.2014.3914

• Mean value property
• infinity laplacian
• unique continuation

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.

• 出版日期2014