Multi-bump nodal solutions for an indefinite non-homogeneous elliptic problem

@inproceedings{Giro2009MultibumpNS,
  title={Multi-bump nodal solutions for an indefinite non-homogeneous elliptic problem},
  author={Pedro M. Girāo and Jos'e Maria Gomes},
  year={2009}
}
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 . 
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