کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8899972 1631554 2018 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sign-changing semi-classical solutions of the Brezís-Nirenberg problems with jump nonlinearities in high dimensions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Sign-changing semi-classical solutions of the Brezís-Nirenberg problems with jump nonlinearities in high dimensions
چکیده انگلیسی
In this paper, we consider the following elliptic equation:{−ε2Δu+α+u+−α−u−=λ|u|p−2u+|u|2⁎−2uin Ω,u=0on ∂Ω, where Ω⊂RN(N≥4) is a bounded domain, u±=max⁡{±u,0}, α±,λ>0 are constants, ε>0 is a small parameter, and 20 that is sufficiently small by means of the variational method. Furthermore, by combining the elliptic and local energy estimates, we study the concentration behavior of this least-energy sign-changing solution and the location of the positive and negative spikes as ε→0+. Our results partially complete the studies in [6] (2011) in the sense that, due to Sobolev embedding, only subcritical cases are considered in that paper.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 461, Issue 1, 1 May 2018, Pages 7-23
نویسندگان
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