کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898562 1631490 2018 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multi-peak solutions to Kirchhoff equations in R3 with general nonlinearity
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Multi-peak solutions to Kirchhoff equations in R3 with general nonlinearity
چکیده انگلیسی
We are concerned with the existence of multi-peak solutions to Kirchhoff equation(0.1)−(ϵ2a+ϵb∫R3|∇u|2dx)Δu+V(x)u=f(u),x∈R3, where ϵ>0 is a small parameter, a, b>0 are constants. Under general conditions of f, we construct a family positive solutions uϵ∈H1(R3) which concentrates around the isolated components of positive local minima of V as ϵ→0+. Our result generalize the previous results on single peak solutions to multi-peak solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 265, Issue 8, 15 October 2018, Pages 3587-3617
نویسندگان
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