کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774061 1413542 2017 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Schrödinger operators involving singular potentials and measure data
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Schrödinger operators involving singular potentials and measure data
چکیده انگلیسی

We study the existence of solutions of the Dirichlet problem for the Schrödinger operator with measure data{−Δu+Vu=μin Ω,u=0on ∂Ω. We characterize the finite measures μ for which this problem has a solution for every nonnegative potential V in the Lebesgue space Lp(Ω) with 1≤p≤N2. The full answer can be expressed in terms of the W2,p capacity for p>1, and the W1,2 (or Newtonian) capacity for p=1. We then prove the existence of a solution of the problem above when V belongs to the real Hardy space H1(Ω) and μ is diffuse with respect to the W2,1 capacity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 263, Issue 6, 15 September 2017, Pages 3581-3610
نویسندگان
, ,