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Positive solutions to semi-positone fourth-order $$\phi $$ϕ-Laplacian BVPs

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This work is devoted to proving existence of positive solutions to a fourth-order semipositone $$\phi $$ϕ-Laplacian boundary problem. The nonlinearity may have time-singularity and change sign. Existence results are proved… Click to show full abstract

This work is devoted to proving existence of positive solutions to a fourth-order semipositone $$\phi $$ϕ-Laplacian boundary problem. The nonlinearity may have time-singularity and change sign. Existence results are proved using the Krasnosel’skii and the Leggett-Williams fixed point theorems and examples of applications are provided.

Keywords: fourth order; positive solutions; phi laplacian; solutions semi

Journal Title: Positivity
Year Published: 2017

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