Optimal $L^p$-properties of Green's functions for non-divergence elliptic equations in two dimensions
Studia Mathematica 169 (2005), 133-141 MSC: 35J15, 35J70. DOI: 10.4064/sm169-2-3
A sharp integrability result for non-negative adjoint solutions to planar non-divergence elliptic equations is proved. A uniform estimate is also given for the Green's function.