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Positive solutions for a one-dimensional Sturm-Liouville semipositone superlinear<i>p</i>-Laplacian problem

Positive solutions for a one-dimensional Sturm-Liouville semipositone superlinear<i>p</i>-Laplacian problem

We prove the existence of a positive classical solution for the p-Laplacian equation –(r(t)ϕ(u ' )) ' = – λh(u) + f (t, u), t ∈ (0, 1) with Sturm-Liouville boundary conditions, where ϕ(s) = | s | p ‒2 s ; p &gt; 1; r : [0, 1] → …