Existence of positive solutions for a nonhomogeneous Schrödinger-Poisson system in R

نویسندگان

  • Miao Du
  • Fubao Zhang
چکیده

where K, h ∈ L(R), a(x) is a positive bounded function, and f(s) is asymptotically linear with respect to s at infinity, that is f(s)/s goes to a constant as s → +∞. Under suitable assumptions on K, a and f , we prove that the problem (P) has at least two positive solutions for |K|2 and |h|2 small by using Ekeland’s variational principle and Mountain pass theorem.

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تاریخ انتشار 2013