Positive solutions for a one-dimensional Sturm-Liouville semipositone superlinear p-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 > 1; r : [0, 1] → (0, ∞); f : (0, 1) × [0;∞) → ℝ is a Carathéodory function satisfying a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2018-01-01
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| Series: | ITM Web of Conferences |
| Online Access: | https://doi.org/10.1051/itmconf/20182002002 |