RT Journal Article
T1 An elliptic equation with singular nonlinearity
A1 Díaz Díaz, Jesús Ildefonso
A1 Morel, J.M.
A1 Oswald, L.
AB The purpose of this paper is to study the problem (P) −Δu+u−α=f in Ω, u=0 on ∂Ω, u−α∈L1(Ω), u>0 in Ω, where Ω is a bounded smooth open set of RN, f≥0, f∈L1(Ω) and 0<α<1. When α≤0 this problem corresponds to a monotone semilinear equation for which the existence and uniqueness of solutions are well known. On the other hand, semilinear equations with nonmonotone perturbations have also been considered in the literature by many different methods. The originality of our study comes from the singularity of the nonlinearity in (P).
PB Taylor & Francis
SN 0360-5302
YR 1987
FD 1987
LK https://hdl.handle.net/20.500.14352/64665
UL https://hdl.handle.net/20.500.14352/64665
DS Docta Complutense
RD 6 abr 2025