Stampacchia–Caldéron–Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift
ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 47.

In this paper, the existence and properties of solutions of the boundary value problem (1.4) are studied. No regularity assumptions on the coefficients of the matrix M(x) are used (in particular we do not require that the principal part is −Δ), no assumptions on the size of ||E||$$ are needed.

DOI : 10.1051/cocv/2018032
Classification : 35A16, 35J25, 35J15
Mots-clés : Elliptic equations, Dirichlet problem, singular drift, discontinuous coefficients
Boccardo, Lucio 1

1 
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     title = {Stampacchia{\textendash}Cald\'eron{\textendash}Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     publisher = {EDP-Sciences},
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Boccardo, Lucio. Stampacchia–Caldéron–Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift. ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 47. doi : 10.1051/cocv/2018032. http://archive.numdam.org/articles/10.1051/cocv/2018032/

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