On the maximum principle for elliptic operators in weighted spaces
Dipartimento di Matematica, Università di Salerno, Via Giovanni Paolo II, I - 84084, Fisciano, Italy
Boundary Value Problems 2014, 2014:91 doi:10.1186/1687-2770-2014-91Published: 6 May 2014
We establish a maximum principle for subsolutions of second order elliptic equations. In particular, we consider some linear operators with leading coefficients locally VMO, while the other coefficients and the boundary conditions involve a suitable weight function.
MSC: 35J25, 35R05, 35B50.