Asymptotic formula for solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients near the boundary
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 3, pp. 551-600.

We derive an asymptotic formula of a new type for variational solutions of the Dirichlet problem for elliptic equations of arbitrary order. The only a priori assumption on the coefficients of the principal part of the equation is the smallness of the local oscillation near the point.

@article{ASNSP_2003_5_2_3_551_0,
title = {Asymptotic formula for solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients near the boundary},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {551--600},
publisher = {Scuola normale superiore},
volume = {Ser. 5, 2},
number = {3},
year = {2003},
zbl = {1170.35340},
mrnumber = {2020860},
language = {en},
url = {http://www.numdam.org/item/ASNSP_2003_5_2_3_551_0/}
}
Kozlov, Vladimir; Maz'ya, Vladimir. Asymptotic formula for solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients near the boundary. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 3, pp. 551-600. http://www.numdam.org/item/ASNSP_2003_5_2_3_551_0/

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