Differential and Integral Equations
- Differential Integral Equations
- Volume 18, Number 12 (2005), 1371-1382.
Boundedness of weak solutions to some linear elliptic equations with measure data
M. Di Giampaolo and F. Leonetti
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
