Qualitative properties of free boundaries for the exterior Bernoulli problem for the half Laplacian

被引：0

作者：

Jarohs, Sven ^{[1
]}

Kulczycki, Tadeusz ^{[2
]}

Salani, Paolo ^{[3
]}

机构：

[1] Goethe Univ Frankfurt, Frankfurt, Germany

[2] Wroclaw Univ Sci & Technol, Wroclaw, Poland

[3] Univ Firenze, DIMAI, Florence, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 547卷 / 01期

关键词：

Free boundary problems; Fractional Laplacian; Moving planes method; Starshapedness; FRACTIONAL LAPLACIAN; REGULARITY;

D O I：

10.1016/j.jmaa.2025.129285

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study the asymptotic behavior of the free boundary of the solution to the exterior Bernoulli problem for the half Laplacian when the Bernoulli's gradient parameter tends to 0+ and to +infinity. Moreover, we show that, under suitable conditions, the perpendicular rays of the free boundary always meet the convex envelope of the fixed boundary. (c) 2025 The Authors. Published by Elsevier Inc.

引用

页数：18

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