کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4666664 1345415 2011 49 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps
چکیده انگلیسی
We consider non-local linear Schrödinger-type critical systems of the type(1)Δ1/4v=Ωvin R, where Ω is antisymmetric potential in L2(R,so(m)), v is an Rm valued map and Ωv denotes the matrix multiplication. We show that every solution v∈L2(R,Rm) of (1) is in fact in Llocp(R,Rm), for every 2⩽p<+∞, in other words, we prove that the system (1) which is a-priori only critical in L2 happens to have a subcritical behavior for antisymmetric potentials. As an application we obtain the Cloc0,α regularity of weak 1/2-harmonic maps into C2 compact sub-manifolds without boundary.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 227, Issue 3, 20 June 2011, Pages 1300-1348
نویسندگان
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