Taiwán
W. District, Taiwán
We consider a positive singular solution of where g(t) is locally bounded and positive for t > 0, r is a closed subset of B1 with vanishing Newton capacity, BR is the open ball of radius R and center 0 in R", and n > 3. By employing the method of moving planes and the localization method of R. Schoen, we prove the following inequality, where c is a positive constant and d (x) is the distance from x to r, provided that is nonincreasing in t for t large.
This inequality is new even when u (x) is radially symmetric.
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