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- W2895725552 abstract "We are looking for solutions to nonlinear Schrodinger-type equations of the form $$ (-Delta)^{alpha / 2} u (x) + V(x) u(x) = h (x,u(x)), quad x in mathbb{R}^N, $$ where $V : mathbb{R}^N rightarrow mathbb{R}$ is an external potential (bounded, unbounded or singular) and the nonlinearity $h : mathbb{R}^N times mathbb{R} rightarrow mathbb{R}$ may be sign-changing. The aim of this paper is to give an introduction to the problem and the variational approach based on the Nehari manifold technique, and to survey recent results concerning the existence of ground and bound states." @default.
- W2895725552 created "2018-10-12" @default.
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- W2895725552 date "2018-10-01" @default.
- W2895725552 modified "2023-10-17" @default.
- W2895725552 title "Schr{o}dinger-type equations with sign-changing nonlinearities: a survey." @default.
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