Global structure of solutions for equations of Brezis-Nirenberg type on the unit ball
Published online by Cambridge University Press: 12 July 2007
Abstract
The Brezis-Nirenberg equation and the scalar field equation on the three-dimensional unit ball are studied. Under the Robin condition, we show the existence and uniqueness of radial solutions in a unified way. In particular, it is shown that the global structure of solutions changes qualitatively when a parameter in the boundary condition exceeds a certain critical value.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 3 , June 2001 , pp. 647 - 665
- Copyright
- Copyright © Royal Society of Edinburgh 2001
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