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.


Published in:
Nonlinear Analysis-Theory Methods & Applications, 128, 391-411
Year:
2015
Publisher:
Oxford, Pergamon-Elsevier Science Ltd
ISSN:
0362-546X
Keywords:
Laboratories:




 Record created 2015-12-02, last modified 2018-01-28


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