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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm169-2-3, author = {Gioconda Moscariello and Carlo Sbordone}, title = {Optimal $L^{p}$-properties of Green's functions for non-divergence elliptic equations in two dimensions}, journal = {Studia Mathematica}, volume = {166}, year = {2005}, pages = {133-141}, zbl = {1154.35331}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm169-2-3} }
Gioconda Moscariello; Carlo Sbordone. Optimal $L^{p}$-properties of Green’s functions for non-divergence elliptic equations in two dimensions. Studia Mathematica, Tome 166 (2005) pp. 133-141. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm169-2-3/