Differential and Integral Equations

Boundedness of weak solutions to some linear elliptic equations with measure data

M. Di Giampaolo and F. Leonetti

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

We prove boundedness of weak solutions $u$ to some linear elliptic equations in divergence form $$-div(a(x)Du(x))=\mu\,.$$ On the right-hand side we have a Radon measure $\mu$ with a suitable decay on balls $ 0\leq\mu(B(x,\rho))\leq c\rho^{s}. $

Article information

Source
Differential Integral Equations, Volume 18, Number 12 (2005), 1371-1382.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356059715

Mathematical Reviews number (MathSciNet)
MR2174977

Zentralblatt MATH identifier
1212.35179

Subjects
Primary: 35R05: Partial differential equations with discontinuous coefficients or data
Secondary: 35B65: Smoothness and regularity of solutions 35D10 35J15: Second-order elliptic equations

Citation

Di Giampaolo, M.; Leonetti, F. Boundedness of weak solutions to some linear elliptic equations with measure data. Differential Integral Equations 18 (2005), no. 12, 1371--1382. https://projecteuclid.org/euclid.die/1356059715


Export citation