On the maximum principle for elliptic operators in weighted spaces

Boundary value problems

Roberta DAmbrosio¹  Loredana Caso² 

[1] di Salerno, Fisciano, Italy;Dipartimento di Matematica, Università

关键词: elliptic operators;    VMO-coefficients;    weighted Sobolev spaces;    maximum principle;   

DOI  :  10.1186/1687-2770-2014-91

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY