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A shooting argument with oscillation for semilinear elliptic radially symmetric equations
Published online by Cambridge University Press: 14 November 2011
Synopsis
A new method is developed for finding radially symmetric solutions of semilinear elliptic problems by phase space methods. The basic idea is to formulate a shooting argument from initial conditions at r = 0 which involves encoding the oscillation information about the trajectories under consideration. The main theorem is applied to a particular nonlinearity and produces a cascade of solutions wherein the multiplicity increases with the number of zeros.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 108 , Issue 1-2 , 1988 , pp. 165 - 180
- Copyright
- Copyright © Royal Society of Edinburgh 1988
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