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Optimal Boundary Regularity for Logarithmic Laplacian by Marius Ghergu is a document available to read on EtoBox.
This document discusses the optimal boundary regularity of solutions to Dirichlet problems involving the logarithmic Laplacian. The authors establish a Hopf-type lemma and demonstrate the uniqueness of solutions to certain nonlinear problems, utilizing barrier constructions and direct computations. Key results include the characterization of boundary regularity and the application of the Kelvin transform in the analysis of the logarithmic Laplacian.
- Author
- Marius Ghergu
- Language
- EN