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

Positive solutions to semi-positone fourth-order $$\phi$$ ϕ -Laplacian BVPs 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

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

, Volume 21 (1) – Apr 7, 2016
20 pages

/lp/springer_journal/positive-solutions-to-semi-positone-fourth-order-phi-laplacian-bvps-MwDtHAKqJ8
Publisher
Springer Journals
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-016-0415-3
Publisher site
See Article on Publisher Site

### 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.

### Journal

PositivitySpringer Journals

Published: Apr 7, 2016

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