Solutions to the σ_k-Loewner-Nirenberg Problem on Annuli are Locally Lipschitz and Not Differentiable

DOI10.4208/jms.v54n2.21.01zbMath1474.35211arXiv2001.04257OpenAlexW3128537391MaRDI QIDQ4996003

Luc Nguyen, Yan-yan Li

Publication date: 1 July 2021

Published in: Journal of Mathematical Study (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04257

zbMATH Keywords

regularityviscosity solutionYamabe problemconformal invarianceLoewner-Nirenberg problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40) Singular elliptic equations (35J75)

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On the \(\sigma_2\)-Nirenberg problem on \(\mathbb{S}^2\) ⋮ Differential inclusions for the Schouten tensor and nonlinear eigenvalue problems in conformal geometry ⋮ Interior regularity for strong solutions to a class of fully nonlinear elliptic equations ⋮ Regularity of viscosity solutions of the σk$\sigma _k$‐Loewner–Nirenberg problem ⋮ Augmented Hessian equations on Riemannian manifolds: from integral to pointwise local second derivative estimates ⋮ A Liouville theorem for Möbius invariant equations ⋮ On fully nonlinear Loewner-Nirenberg problem of Ricci curvature ⋮ On the σκ -Nirenberg problem ⋮ Interior Gradient Estimates for General Prescribed Curvature Equations ⋮ Local pointwise second derivative estimates for strong solutions to the \(\sigma_k\)-Yamabe equation on Euclidean domains

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