کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616851 1339360 2013 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and multiplicity of solutions for nonlinear Schrödinger equations with magnetic field and Hartree type nonlinearities
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Existence and multiplicity of solutions for nonlinear Schrödinger equations with magnetic field and Hartree type nonlinearities
چکیده انگلیسی

We study the existence and multiplicity of solutions of the following nonlinear Schrödinger equation in the presence of magnetic field: {(−iε∇+A(x))2u+V(x)u=(K(x)∗|u|p)|u|p−2u,|u|∈H1(RN) where V:RN→RV:RN→R is the external potential, K:RN→RK:RN→R is the response function and A=(A1,…,AN):RN→RNA=(A1,…,AN):RN→RN is the magnetic vector potential associated to an external magnetic field BB, that is B=curlAB=curlA. Under suitable assumptions on the functions V(x),K(x)V(x),K(x) and A(x)A(x), if the parameter εε is small enough, we can prove the multiplicity of bound states for the equation by variational methods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 403, Issue 2, 15 July 2013, Pages 680–694
نویسندگان
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