A variant prescribed curvature flow on closed surfaces with negative Euler characteristic

DOI10.1007/s00526-023-02600-9arXiv2301.12015OpenAlexW4388230791MaRDI QIDQ6090360

Franziska Borer, Peter Elbau, Tobias Weth

Publication date: 14 November 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.12015

zbMATH Keywords

prescribed Gauss curvature flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Geometric evolution equations (53E99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compactness issues and bubbling phenomena for the prescribed Gaussian curvature equation on the torus
• Prescribing Gaussian curvature on S 2
• Curvature functions for open 2-manifolds
• Nonlinear elliptic equations in conformal geometry
• ``Bubbling of the prescribed curvature flow on the torus
• Curvature functions for compact 2-manifolds
• ``Large conformal metrics of prescribed Gauss curvature on surfaces of higher genus
• Optimal \(L^p\)-Riemannian Gagliardo-Nirenberg inequalities
• A flow approach to Nirenberg's problem
• A Note on the Problem of Prescribing Gaussian Curvature on Surfaces
• Prescribed curvature flow on surfaces

This page was built for publication: A variant prescribed curvature flow on closed surfaces with negative Euler characteristic