Existence of nontrivial solutions for Schrodinger-Kirchhoff equations with indefinite potentials
DOI:
https://doi.org/10.58997/ejde.2023.13Abstract
We consider a class of Schrodinger-Kirchhoff equations in R3 with a general nonlinearity g and coercive sign-changing potential V so that the Schrodinger operator -aΔ +V is indefinite. The nonlinearity considered here satisfies the Ambrosetti-Rabinowitz type condition g(t)t≥μ G(t)>0 with μ>3. We obtain the existence of nontrivial solutions for this problem via Morse theory.
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