Optimal $L^p$-properties of Green's functions for non-divergence elliptic equations in two dimensions
Studia Mathematica, Tome 169 (2005) no. 2, pp. 133-141

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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.
DOI : 10.4064/sm169-2-3
Keywords: sharp integrability result non negative adjoint solutions planar non divergence elliptic equations proved uniform estimate given greens function

Gioconda Moscariello 1 ; Carlo Sbordone 2

1 Dipartimento di Matematica “R. Caccioppoli” Università di Napoli “Federico II” Via Cintia, 80126 Napoli, Italy
2 Dipartimento di Matematica “R. Caccioppoli” Universita di Napoli “Federico II” Via Cintia, 80126 Napoli, Italy
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 elliptic equations in two dimensions
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 elliptic equations in two dimensions
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Gioconda Moscariello; Carlo Sbordone. Optimal $L^p$-properties of Green's functions for non-divergence
 elliptic equations in two dimensions. Studia Mathematica, Tome 169 (2005) no. 2, pp. 133-141. doi: 10.4064/sm169-2-3

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