کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4614452 1339291 2016 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence, uniqueness and multiplicity of positive solutions for Schrödinger–Poisson system with singularity
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Existence, uniqueness and multiplicity of positive solutions for Schrödinger–Poisson system with singularity
چکیده انگلیسی

In this paper, we consider the following Schrödinger–Poisson system with singularity{−Δu+ηϕu=μu−r,inΩ,−Δϕ=u2,inΩ,u>0,inΩ,u=ϕ=0,on∂Ω, where Ω⊂R3Ω⊂R3 is a smooth bounded domain with boundary ∂Ω, η=±1η=±1, r∈(0,1)r∈(0,1) is a constant, μ>0μ>0 is a parameter. We obtain the existence and uniqueness of positive solution for η=1η=1 and any μ>0μ>0 by using the variational method. The existence and multiplicity of solutions for the system are also considered for η=−1η=−1 and μ>0μ>0 small enough by using the method of Nehari manifold.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 437, Issue 1, 1 May 2016, Pages 160–180
نویسندگان
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