半拉普拉斯外伯努利问题自由边界的定性性质

IF 1.3 3区数学 Q1 MATHEMATICS Journal of Mathematical Analysis and Applications Pub Date : 2025-07-01 Epub Date: 2025-01-20 DOI:10.1016/j.jmaa.2025.129285

Sven Jarohs , Tadeusz Kulczycki , Paolo Salani

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引用次数: 0

摘要

本文研究了半拉普拉斯外伯努利问题在伯努利梯度参数趋于0+和+∞时解的自由边界的渐近性质。此外，在适当的条件下，自由边界的垂直射线总是满足固定边界的凸包络。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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 +∞. Moreover, we show that, under suitable conditions, the perpendicular rays of the free boundary always meet the convex envelope of the fixed boundary.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.