کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417103 1338528 2015 34 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sign changing bump solutions for Schrödinger equations involving critical growth and indefinite potential wells
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Sign changing bump solutions for Schrödinger equations involving critical growth and indefinite potential wells
چکیده انگلیسی

In this paper, we consider the following Schrödinger equations with critical growth−Δu+(λa(x)−δ)u=|u|2⁎−2u,x∈RN, where N≥4, 2⁎ is the critical Sobolev exponent, a(x)≥0 and its zero sets are not empty, λ>0 is a parameter, δ>0 is a constant such that the operator (−Δ+λa(x)−δ) might be indefinite for λ large. We prove that if the zero sets of a(x) have several isolated connected components Ω1,⋯,Ωk such that the interior of Ωi(i=1,2,…,k) is not empty and ∂Ωi(i=1,2,…,k) is smooth. Then for λ sufficiently large, the equation admits, for any i∈{1,2,⋯,k}, a solution which is trapped in a neighborhood of Ωi. The key ingredients of the paper are using a flow argument and a combination of global linking and local linking.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 11, 5 December 2015, Pages 6038-6071
نویسندگان
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