Issue |
ESAIM: COCV
Volume 25, 2019
|
|
---|---|---|
Article Number | 47 | |
Number of page(s) | 13 | |
DOI | https://doi.org/10.1051/cocv/2018032 | |
Published online | 25 September 2019 |
Stampacchia–Caldéron–Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift
Dipartimento di Matematica, Sapienza Università di Roma,
Rome, Italy.
* Corresponding author: boccardo@mat.uniroma1.it
Received:
12
September
2017
Accepted:
10
May
2018
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||LN are needed.
Mathematics Subject Classification: 35A16 / 35J25 / 35J15
Key words: Elliptic equations / Dirichlet problem / singular drift / discontinuous coefficients
© EDP Sciences, SMAI 2019
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