- Research Article
- Open Access
A Double S-Shaped Bifurcation Curve for a Reaction-Diffusion Model with Nonlinear Boundary Conditions
© Jerome Goddard II et al. 2010
- Received: 13 November 2009
- Accepted: 23 May 2010
- Published: 21 June 2010
We study the positive solutions to boundary value problems of the form ; , ; , where is a bounded domain in with , is the Laplace operator, is a positive parameter, is a continuous function which is sublinear at , is the outward normal derivative, and is a smooth function nondecreasing in . In particular, we discuss the existence of at least two positive radial solutions for when is an annulus in . Further, we discuss the existence of a double S-shaped bifurcation curve when , , and with .
- Boundary Condition
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation
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