Mixed fractional Sobolev spaces and elliptic PDEs with singular integral boundary data

被引：1
作者：
Merker, Jochen [1 ]
机构：
[1] Leipzig Univ Appl Sci, Ctr Math & Nat Sci, PF 30 11 66, D-04251 Leipzig, Germany
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 04期
关键词：
fractional Sobolev spaces; semilinear elliptic PDE; singular data; singular integrals;
D O I：
10.1002/mma.6059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we show how to use mixed fractional Sobolev spaces to prove existence of very weak solutions to singular semilinear elliptic PDEs subject to singular integral Neumann boundary conditions. Particularly, we obtain solutions with infinite normal derivatives on the boundary, ie, solutions with large derivatives.
引用
收藏
页码：2859 / 2867
页数：9
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