A Priori Bounds in and in for Solutions of Elliptic Equations

We give an overview on some recent results concerning the study of the Dirichlet problem for second-order linear elliptic partial differential equations in divergence form and with discontinuous coefficients, in unbounded domains. The main theorem consists in an -a priori bound, . Some applications...

Full description

Saved in:
Bibliographic Details
Main Authors: Sara Monsurrò, Maria Transirico
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/650870
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We give an overview on some recent results concerning the study of the Dirichlet problem for second-order linear elliptic partial differential equations in divergence form and with discontinuous coefficients, in unbounded domains. The main theorem consists in an -a priori bound, . Some applications of this bound in the framework of non-variational problems, in a weighted and a non-weighted case, are also given.
ISSN:1085-3375
1687-0409