... denote the set of the solutions to the problemu= G(t,u)(P)inR+× E.LetC denote the component (closed connected maximal subset with respect to the inclusion) of J to which (0,0) belongs. Then ... positivesolutions of problem (P)τunder certain conditions on the functions f , g, a. This resultimplies nonexistence of positive solutions to τ large enough.Also we are interested in the existence of ... obtainthat the limit equation of the last inequality becomes−Δmv ≥ vp, v ≥ 0inRN, v(0) = max v = 1, (2.35)which is a contradiction with [14, Theorem III].3. Proof of Theorem 1.2 The following...