New Conditions on Solutions for Periodic Schrödinger Equations with Spectrum Zero
نویسندگان
چکیده
This paper is concerned with the following Schrödinger equation: { − u+ V (x)u = f(x, u), for x ∈ R , u(x) → 0, as |x| → ∞, where the potential V and f are periodic with respect to x and 0 is a boundary point of the spectrum σ(− + V ). By a new technique for showing the boundedness of Cerami sequences, we are able to obtain the existence of nontrivial solutions with mild assumptions on f .
منابع مشابه
Two Types of Ground State Solutions for a Periodic Schrödinger Equations with Zero on the Boundary of the Spectrum
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تاریخ انتشار 2014