Multi-bump nodal solutions for an indefinite non-homogeneous elliptic problem
Published online by Cambridge University Press: 08 July 2009
Abstract
We construct multi-bump nodal solutions of the elliptic equation
in , when μ is large, under appropriate assumptions, for f superlinear and subcritical and such that the eigenvalues of the associated linearized operator on at zero, u ↦ u − λ(−Δ)−1(a+u), are positive. The solutions are of least energy in some Nehari-type set defined by imposing suitable conditions on orthogonal components of functions in .
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 4 , August 2009 , pp. 797 - 817
- Copyright
- Copyright © Royal Society of Edinburgh 2009
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