Infinity Laplacian equations with singular absorptions. (English) Zbl 1490.35175
Summary: 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.
MSC:
| 35J75 | Singular elliptic equations |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35R35 | Free boundary problems for PDEs |
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