کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418627 1339345 2013 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Positive and sign-changing solutions of a Schrödinger-Poisson system involving a critical nonlinearity
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Positive and sign-changing solutions of a Schrödinger-Poisson system involving a critical nonlinearity
چکیده انگلیسی

In this paper, we consider the Schrödinger-Poisson system {−Δu+u+l(x)ϕu=k(x)|u|4u+μh(x)uinR3,−Δϕ=l(x)u2inR3, where μ is a positive constant and the nonlinear growth of |u|4u reaches the Sobolev critical exponent since 2∗=6 for three spatial dimensions. We prove the existence of at least a pair of fixed sign solutions and a pair of sign-changing solutions in H1(R3)×D1,2(R3) under some suitable conditions on the nonnegative functions l,k and h, but not requiring any symmetry properties on them.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 408, Issue 1, 1 December 2013, Pages 55-69
نویسندگان
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