Document Type

Article

Publication Date

7-24-2013

Keywords

Elliptic system with various growth conditions, Existence of positive solution, Logistic equations, Maximum principles, Spectrum estimates, Super-sub solutions

Abstract

In this paper, we investigate conditions for the existence of positive solution to the following general elliptic system with various growth conditions: {Δu + u(a + g(u, v)) = 0 Δv + v(d + h(u, v)) = 0 u|∂ω=v|∂ω=0 in ω. Our arguments mainly rely on super-sub solutions, maximum principles, spectrum estimates, and some detailed properties for the solution of logistic equations. © 2013 Academic Publications, Ltd.

Journal Title

International Journal of Pure and Applied Mathematics

Volume

85

Issue

6

First Page

1009

Last Page

1019

DOI

https://doi.org/10.12732/ijpam.v85i6.4

First Department

Mathematics

Acknowledgements

Retrieved February 3, 2010 from https://ijpam.eu/contents/2013-85-6/4/4.pdf

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