Article ID Journal Published Year Pages File Type
842003 Nonlinear Analysis: Theory, Methods & Applications 2010 8 Pages PDF
Abstract

In this paper we consider the following Schrödinger equation: {−Δu+V(x)u=g(x,u)forx∈RN,u(x)→0as|x|→∞ where VV is a periodic continuous real function with 0 in a gap of the spectrum σ(A),A≔−Δ+Vσ(A),A≔−Δ+V and the classical Ambrosetti–Rabinowitz superlinear condition on gg is replaced by a general super-quadratic condition.

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