Abstract
We establish an existence result of positive solutions to the following boundary value problem:
Delta u + a(1)(x)u(alpha 1) + a(2)(x)u(alpha 2) = 0 in Omega, u = 0 on partial derivative Omega,
where Omega is a bounded C-1,C-1-domain in R-n, alpha(1); alpha(2) < 1 and a(1), a(2) are nonnegative functions in C-loc(gamma)(Omega), 0 < gamma < 1, satisfying some appropriate assumptions related to Karamata regular variation theory. We give estimates on such solutions where appear the combined effects of singular and sublinear terms in the nonlinearity.