论文标题

自由边界上的罗宾条件的两阶段问题

A two-phase problem with Robin conditions on the free boundary

论文作者

Bianco, Serena Guarino Lo, La Manna, Domenico Angelo, Velichkov, Bozhidar

论文摘要

我们首次研究了两相的无边界问题,其中解决方案满足了罗宾边界条件。我们考虑了解决方案在自由边界上连续的情况,我们证明了相关变分问题的最小化者的存在和规律性结果。最后,在附录中,我们举例说明了一类Steiner对称的最小化器。

We study for the first time a two-phase free boundary problem in which the solution satisfies a Robin boundary condition. We consider the case in which the solution is continuous across the free boundary and we prove an existence and a regularity result for minimizers of the associated variational problem. Finally, in the appendix, we give an example of a class of Steiner symmetric minimizers.

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