Bifurcation results for semilinear elliptic problems in RN
Published online by Cambridge University Press: 12 July 2007
Abstract
In this paper we obtain, for a semilinear elliptic problem in RN, families of solutions bifurcating from the bottom of the spectrum of −Δ. The problem is variational in nature and we apply a nonlinear reduction method that allows us to search for solutions as critical points of suitable functionals defined on finite-dimensional manifolds.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 1 , February 2004 , pp. 11 - 32
- Copyright
- Copyright © Royal Society of Edinburgh 2004
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