论文标题

对称性破坏解决方案,用于锯齿蛋白类型的两相的过度确定问题

Symmetry breaking solutions for a two-phase overdetermined problem of Serrin-type

论文作者

Cavallina, Lorenzo, Yachimura, Toshiaki

论文摘要

在本文中,我们考虑了带有分段恒定系数的两相椭圆算子的锯齿蛋白类型的问题。我们展示了无限的非平凡对称破坏解决方案的许多分支,这些分支是从任何径向对称配置分叉的,这些配置满足了系数上的某些条件。

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.

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