Elliptic equations of the form L◆μ = ν for measures on Rn are considered. At suitable conditions on L coefficients, belonging of the solutions to Sobolev class Wp,1(Rn) is established. For corresponding densities the bounds in the form q(x)≤CΦ(x)-1 are obtained.
|Original language||English (US)|
|Number of pages||5|
|Journal||Doklady Akademii Nauk|
|State||Published - Dec 1 2005|