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:
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!
|
Similar Items
-
An Application of Potential Estimates to A Priori Bounds for Elliptic Equations
by: Farman Mamedov, et al.
Published: (2016-01-01) -
An Lp-Estimate for Weak Solutions of Elliptic Equations
by: Sara Monsurrò, et al.
Published: (2012-01-01) -
A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue Problems
by: Jiayu Han, et al.
Published: (2013-01-01) -
The Dirichlet Problem for elliptic equations in unbounded domains of the plane
by: Paola Cavaliere, et al.
Published: (2008-01-01) -
W2,p-Solvability of the Dirichlet Problem for Elliptic Equations with Singular Data
by: Loredana Caso, et al.
Published: (2015-01-01)