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arXiv · 2101.05882

Infinity Laplacian equations with singular absorptions

Damião J. Araújo·Ginaldo de Santana Sá
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Abstract

In this work, we study regularity properties for nonvariational singular elliptic equations ruled by the infinity Laplacian. We obtain optimal $C^{1,\alpha}$ regularity along the free boundary. We also show existence of solutions, nondegeneracy properties and fine geometric estimates for the free boundary.

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Damião J. Araújo, Ginaldo de Santana Sá. 2021-01-14. Infinity Laplacian equations with singular absorptions. https://doi.org/10.1007/s00526-022-02241-4

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