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

  • Pedro M. Girão (a1) and José Maria Gomes (a2)

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

  • Pedro M. Girão (a1) and José Maria Gomes (a2)

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