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/