We make a further step in the study of regularizing properties of the strong solutions to the equation [Equation not available: see fulltext.]where Î© is a bounded domain in Rn with smooth boundary. We are interested in estimating the second order derivatives of the solutions and in showing that solutions belong to the class C1,Î±. The relevant assumptions on the leading coefficients are uniform ellipticity and their membership to the class Lââ© VMO. Moreover, the assumptions on the lower order term are optimal in the sense that they are assumed to belong to some generalized Morrey classes.
|Titolo:||Elliptic equations with discontinuous coefficients in generalized Morrey spaces|
DI FAZIO, Giuseppe [Project Administration] (Corresponding)
|Data di pubblicazione:||2017|
|Appare nelle tipologie:||1.1 Articolo in rivista|