Differential and Integral Equations

Classes of infinite semipositone $n \times n$ systems

Eun Kyoung Lee, R. Shivaji, and Jinglong Ye

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We study the existence of positive solutions to classes of $n\times n$ systems of reaction diffusion equations with Dirichlet boundary conditions. In particular, we consider systems where the reaction terms approach $-\infty$ near the origin and satisfy a combined sublinear condition at $\infty .$ We use the method of sub-super solutions to establish our results.

Article information

Differential Integral Equations, Volume 24, Number 3/4 (2011), 361-370.

First available in Project Euclid: 20 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J25: Boundary value problems for second-order elliptic equations 35J55


Lee, Eun Kyoung; Shivaji, R.; Ye, Jinglong. Classes of infinite semipositone $n \times n$ systems. Differential Integral Equations 24 (2011), no. 3/4, 361--370. https://projecteuclid.org/euclid.die/1356019036

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