Symmetry Breaking Solutions for a Two-Phase Overdetermined Problem of Serrin-Type

Symmetry Breaking Solutions for a Two-Phase Overdetermined Problem of Serrin-Type
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Serrin型两相超定问题的对称破缺解

DOI：
10.1007/978-3-030-87502-2_44
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发表时间：
2022
期刊：
Current Trends in Analysis, its Applications and Computation Proceedings of the 12th ISAAC Congress, Aveiro, Portugal, 2019
影响因子：
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通讯作者：
Yachimura Toshiaki
Yachimura Toshiaki
中科院分区：
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文献类型：
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作者：
Cavallina Lorenzo;Yachimura Toshiaki

文献摘要

相似文献

本文考虑一类分段常系数两相椭圆算子的Seryn型超定问题。我们证明了非平凡对称破缺解的无限多个分支的存在性，这些分支来自任何满足系数条件的径向对称构型。
In this paper, we consider an overdetermined problem of Serrin-type for a two-phase elliptic operator with piecewise constant coefficients. We show the existence of infinitely many branches of nontrivial symmetry breaking solutions which bifurcate from any radially symmetric configuration satisfying some condition on the coefficients.