Variational Inequalities for the Fractional Laplacian

被引：9

作者：

Musina, Roberta ^{[1
]}

Nazarov, Alexander I. ^{[2
,3
]}

Sreenadh, Konijeti ^{[4
]}

机构：

[1] Univ Udine, Dipartimento Matemat & Informat, Via Sci 206, I-33100 Udine, Italy

[2] Steklov Inst, St Petersburg Dept, Fontanka 27, St Petersburg 191023, Russia

[3] St Petersburg State Univ, Univ Skii Pr 28, St Petersburg 198504, Russia

[4] Indian Inst Technol Delhi, Dept Math, New Delhi 110016, India

来源：

POTENTIAL ANALYSIS | 2017年 / 46卷 / 03期

关键词：

Variational inequalities; Fractional Laplacian; Free boundary problems; OBSTACLE PROBLEM; REGULARITY; OPERATORS; BOUNDARY;

D O I：

10.1007/s11118-016-9591-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the obstacle problems for the fractional Lapalcian of order s a (0, 1) in a bounded domain , under mild assumptions on the data.

引用

页码：485 / 498

页数：14

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