Multiple solutions for elliptic resonant problems
Published online by Cambridge University Press: 12 November 2008
Abstract
Two non-trivial solutions for semilinear elliptic resonant problems are obtained via the Lyapunov—Schmidt reduction and the three-critical-points theorem. The difficulty that the variational functional does not satisfy the Palais—Smale condition is overcome by taking advantage of the reduction and a careful analysis of the reduced functional.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 138 , Issue 6 , December 2008 , pp. 1281 - 1289
- Copyright
- Copyright © Royal Society of Edinburgh 2008
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