𝑊𝟐,𝟐 A Priori Bounds for a Class of Elliptic Operators

We obtain some 𝑊2,2 a priori bounds for a class of uniformly elliptic second-order differential operators, both in a no-weighted and in a weighted case. We deduce a uniqueness and existence theorem for the related Dirichlet problem in some weighted Sobolev spaces on unbounded domains.

Saved in:
Bibliographic Details
Main Authors: Sara Monsurrò, Maria Salvato, Maria Transirico
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2011/572824
Tags: Add Tag
No Tags, Be the first to tag this record!