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arXiv · 2008.07955

Fully nonlinear dead-core systems

Damião J. Araújo·Rafayel Teymurazyan
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Abstract

We study fully nonlinear dead-core systems coupled with strong absorption terms. We discover a chain reaction, exploiting properties of an equation along the system and obtain higher sharp regularity across the free boundary. Additionally, we prove geometric measure estimates and obtain coincidence of the free boundaries. We also derive Liouville type theorems for entire solutions. These results are new even for linear systems.

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Damião J. Araújo, Rafayel Teymurazyan. 2020-08-18. Fully nonlinear dead-core systems. https://arxiv.org/abs/2008.07955

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