کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418588 1339343 2014 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On ground state solutions for the Schrödinger-Poisson equations with critical growth
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On ground state solutions for the Schrödinger-Poisson equations with critical growth
چکیده انگلیسی

In this paper, we study the existence of ground state solutions for the following Schrödinger-Poisson equation{−Δu+V(x)u+λϕu=μ|u|q−1u+|u|4u,inR3,−Δϕ=u2,inR3, where μ is a positive parameter. Under some certain assumptions on V, we prove that for every λ>0 and q∈(2,5), such a class of Schrödinger-Poisson equation with critical growth has at least a positive ground state solution via variational methods. Some recent results from the literature are extended.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 412, Issue 1, 1 April 2014, Pages 435-448
نویسندگان
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