Multibump nodal solutions for an indefinite nonhomogeneous elliptic problem

We construct multibump nodal solutions of the elliptic equation $-Δu=a^+[λu+ f(\, \cdot\,, u)]-μa^- g(\, \cdot\,, u)$ in $H^1_0(Ω)$, when $μ$ is large, under appropriate assumptions, for $f$ superlinear and subcritical and such that the eigenvalues of the associated linearized operator on $H^1_0(\{x\inΩ:\: a(x)>0\})$ at zero, $u\longmapsto u-λ(-Δ)^{-1}(a^+ u)$, are positive. The solutions are of least energy in some Nehari-type set defined by imposing suitable conditions on orthogonal components of functions in $H^1_0(Ω)$.

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