Abstract
This paper is concerned with asymptotic bifurcation for a semilinear equation on the half-line. For an asymptotically linear nonlinearity, the existence of a continuum of solutions 'bifurcating from infinity' is obtained by using a topological degree. Under additional monotonicity conditions, the continuum is shown to be a continuous curve. Applications to nonlinear planar waveguides are mentioned. © 2011 Elsevier Ltd. All rights reserved.
Original language | English |
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Pages (from-to) | 4533-4543 |
Number of pages | 11 |
Journal | Nonlinear Analysis: Theory, Methods and Applications |
Volume | 74 |
Issue number | 13 |
DOIs | |
Publication status | Published - Sept 2011 |
Keywords
- Asymptotic bifurcation
- Nonlinear waveguides
- Saturable nonlinearity
- Topological degree
- Unbounded domain