Research proof index

Weak Harnack inequality for positive supersolutions on B₁. For u > 0 with -∇·(A∇u) ≥ 0 on B₁, and 0 < q < 1: ‖u‖_{L^{q*}(B_{1/4})} ≤ (C(d)/(1-q)^{d/c'})^{Λ^{1/2}} · essInf_{B_{1/4}} u The estimate is stated on B_{1/4}, the ball naturally produced by the forward and inverse Moser steps together with the crossover estimate.