Existence and uniqueness to a fully nonlinear version of the Loewner-Nirenberg problem

DOI10.1007/s40304-018-0150-0zbMath1406.35122arXiv1804.08851OpenAlexW2798581599WikidataQ125275099 ScholiaQ125275099MaRDI QIDQ1757187

Luc Nguyen, Yan-yan Li, María del Mar González

Publication date: 2 January 2019

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08851

zbMATH Keywords

conformally flat metricnonlinear Loewner-Nirenberg problemSchouten curvature

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular elliptic equations (35J75) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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A \(\sigma_2\) Penrose inequality for conformal asymptotically hyperbolic 4-discs, A flow approach to the generalized Loewner-Nirenberg problem of the \(\sigma_k\)-Ricci equation, On the \(\sigma_2\)-Nirenberg problem on \(\mathbb{S}^2\), Differential inclusions for the Schouten tensor and nonlinear eigenvalue problems in conformal geometry, Regularity of viscosity solutions of the σk$\sigma _k$‐Loewner–Nirenberg problem, 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, Chern-Gauss-Bonnet formula for singular Yamabe metrics in dimension four, Local pointwise second derivative estimates for strong solutions to the \(\sigma_k\)-Yamabe equation on Euclidean domains

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