Elliptic equations with general singular lower order term and measure data

De Cave, Linda MariaOliva, Francescantonio2015-12-022015-12-022015-12-02201510.1016/j.na.2015.08.005https://infoscience.epfl.ch/handle/20.500.14299/121051WOS:000361827300022In 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.Nonlinear elliptic equationsSingular elliptic equationsMeasure dataElliptic equations with general singular lower order term and measure datatext::journal::journal article::research article