کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4611058 1338599 2012 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Comparison and regularity results for the fractional Laplacian via symmetrization methods
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Comparison and regularity results for the fractional Laplacian via symmetrization methods
چکیده انگلیسی

In this paper we establish a comparison result through symmetrization for solutions to some boundary value problems involving the fractional Laplacian. This allows to get sharp estimates for the solutions, obtained by comparing them with solutions of suitable radial problems. Furthermore, we use such result to prove a priori estimates for solutions in terms of the data, providing several regularity results which extend the well-known ones for the classical Laplacian.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 253, Issue 9, 1 November 2012, Pages 2593-2615