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research article
Elliptic equations with general singular lower order term and measure data
In this paper we study a nonlinear elliptic boundary value problem with a general singular lower order term, whose model is {-Delta u = H(u)mu, in Omega, u = 0 on partial derivative Omega, u > 0 on Omega, where Omega is an open bounded subset of R-N, mu is a nonnegative bounded Radon measure on Omega and H is a continuous positive function outside the origin such that lim H(s) = +infinity. We do not require any monotonicity property on the singular s -> 0(+) function H. (c) 2015 Elsevier Ltd. All rights reserved.
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Type
research article
Web of Science ID
WOS:000361827300022
Authors
Publication date
2015
Publisher
Published in
Volume
128
Start page
391
End page
411
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 2, 2015