We prove the existence of three positive solutions for the Neumann problem associated to u″+a(t)uγ+1=0, assuming that a(t) has two positive humps and ∫0Ta−(t)dt is large enough. Actually, the result holds true for a more general class of superlinear nonlinearities.

%B Journal of Mathematical Analysis and Applications %V 377 %P 259 - 268 %G eng %U http://www.sciencedirect.com/science/article/pii/S0022247X10008796 %R https://doi.org/10.1016/j.jmaa.2010.10.042