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- W2783144080 abstract "We consider quasilinear Schrödinger equations in RN of the form−Δu+V(x)u−uΔ(u2)=g(u), where g(u) is 4-superlinear. Unlike all known results in the literature, the Schrödinger operator −Δ+V is allowed to be indefinite, hence the variational functional does not satisfy the mountain pass geometry. By a local linking argument and Morse theory, we obtain a nontrivial solution for the problem. In case that g is odd, we get an unbounded sequence of solutions." @default.
- W2783144080 created "2018-01-26" @default.
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- W2783144080 date "2018-11-01" @default.
- W2783144080 modified "2023-09-24" @default.
- W2783144080 title "Standing waves for quasilinear Schrödinger equations with indefinite potentials" @default.
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- W2783144080 doi "https://doi.org/10.1016/j.jde.2018.05.024" @default.
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