... beenconsidered by many authors in recent years see 1–4. Little information is known aboutthe combination of sublinear and superlinear case of problem 1.1 .In 5, 6, they deal withthe analogue of ... equations in RN ,” Manuscripta Mathematica,vol.74,no.1,pp. 87–106, 1992.2 H. Berestycki and P. L. Lion, “Nonlinear scalar field equations—I ,” Archive for Rational Mechanics andAnalysis, ... Order, Springer, Berlin,Germany, 2nd edition, 1993.14 P L. Lions, “On positive solutions of semilinear elliptic equations in unbounded domains ,” in Nonlinear Diffusion Equations and Their...