کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900247 1631558 2018 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nontrivial solutions of nonlocal fourth order elliptic equation of Kirchhoff type in R3
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Nontrivial solutions of nonlocal fourth order elliptic equation of Kirchhoff type in R3
چکیده انگلیسی
This paper is devoted to a class of important and general nonlocal fourth order elliptic problemΔ2u−(1+λ∫R3|∇u|2dx)Δu+V(x)u=f(x,u)inR3, where Δ2=Δ(Δ) is the bi-harmonic operator, λ≥0 is a constant. We focus on the case that f(x,u) involves a combination of convex and concave terms and the potential V(x) is allowed to be sign-changing. By new techniques, multiplicity results of two different type of solutions are established. Our results improves and generalizes that obtained in the literature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 459, Issue 1, 1 March 2018, Pages 556-563
نویسندگان
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