Tangent lines of contact for the infinity Laplacian

Yu, Yifeng
December 2004
Calculus of Variations & Partial Differential Equations;Dec2004, Vol. 21 Issue 4, p349
Academic Journal
In this paper, we will prove a “tangent line touching” condition for supersolutions of the infinity Laplacian. This is a kind of quantitative estimate for the failure of the strong maximal principle. Whenn= 2, this also implies the failure of the principle of unique continuation. In addition, we will establish a theorem of continuation.


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