Resumen de Aspherical Harnack inequality for singular solutions of nonlinear elliptic equations

Chiun-Chuan Chen, Chang-Shou Lin

• 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.