On a Class of Infinite Semipositone Nonlinear Systems with Multiple Parameters

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Authors

  • S. H. Rasouli
     ,IR

DOI:

https://doi.org/10.18311/jims/2017/6110

Keywords:

Positive Solutions, Infinite Semipositone Systems, Sub-Super Solutions
Education and Research

Abstract

We analyze the existence of positive solutions of infinite semipositone nonlinear systems with multiple parameters of the form

{Δu = α1 (f (v)) - 1/un) + β1(h (u) - 1/un),     x € Ω),
 -Δv = α2 (g (u)) - 1/vθ) + β2(k (v) - 1/uθ),    x € Ω),
 u = v = 0,                                                x € δΩ),

where Ω is a bounded smooth domain of RN, η, θ ε (0, 1), and α1, α2, β1 and β2 are nonnegative parameters. Here f, g, h, k ε C ([0, ∞ ]), are non-decreasing functions and f(0), g(0), h(0), k(0) > 0. We use the method of sub-super solutions to prove the existence of positive solution for α1 + β1 and α2 + β2 large.

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Published

2017-01-02

How to Cite

Rasouli, S. H. (2017). On a Class of Infinite Semipositone Nonlinear Systems with Multiple Parameters. The Journal of the Indian Mathematical Society, 84(1-2), 90–95. https://doi.org/10.18311/jims/2017/6110

Issue

Volume 84, Issue 1-2, January-June 2017

Section

Articles

License

Copyright (c) 2017 S. H. Rasouli

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2016-06-09
Accepted 2016-08-22
Published 2017-01-02

 

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