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Positive solutions for singular \(\phi\)-Laplacian BVPs on the positive half-line. (English) Zbl 1201.34040
The authors are concerned with the existence of multiple positive solutions for a \(\phi\)-Laplace boundary value problem on the half-line. The nonlinearity may exhibit a singularity at the origin with respect to the state variable. The results are proved by using the fixed point index theory on cones and the upper and lower solution method.

MSC:
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34B40 Boundary value problems on infinite intervals for ordinary differential equations
34B16 Singular nonlinear boundary value problems for ordinary differential equations
47H20 Semigroups of nonlinear operators
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