MULTIPLE SOLUTIONS FOR PERIODIC SCHRÖDINGER EQUATIONS WITH SPECTRUM POINT ZERO
نویسندگان
چکیده
منابع مشابه
New Conditions on Solutions for Periodic Schrödinger Equations with Spectrum Zero
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 .
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2014
ISSN: 1027-5487
DOI: 10.11650/tjm.18.2014.3451