Let us consider partial differential equations with discontinuous coefficients and prove that, if the known term belongs to the Morrey space, the highest order derivatives of the solutions of the equations belong to the same space. As a consequence it is possible to obtain local Holder continuity for the solutions. Moreover, are discussed some estimates for the derivatives of local minimizers of variational integrals.
|Titolo:||Operators in Morrey Type Spaces and Applications|
|Data di pubblicazione:||2012|
|Appare nelle tipologie:||1.1 Articolo in rivista|