Another remark on a result of Ding-Jost-Li-Wang

DOI10.1090/proc/16506zbMath1530.58011arXiv2212.09943OpenAlexW4366404384MaRDI QIDQ6183381

Xiao Bao Zhu

Publication date: 4 January 2024

Full work available at URL: https://arxiv.org/abs/2212.09943

zbMATH Keywords

maximum principlesign-changing functionvariational methodblow-up analysisKazdan-Warner equation

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational problems in a geometric measure-theoretic setting (49Q20) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Integration on manifolds; measures on manifolds (58C35) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Cites Work

• Prescribing Gaussian curvatures on surfaces with conical singularities
• Sharp borderline Sobolev inequalities on compact Riemannian manifolds
• The differential equation \(\Delta u=8\pi-8\pi he^u\) on a compact Riemann surface
• The convergence of the mean field type flow at a critical case
• A mean field type flow with sign-changing prescribed function on a symmetric Riemann surface
• A flow approach to mean field equation
• Global existence and convergence of a flow to Kazdan-Warner equation with non-negative prescribed function
• Curvature functions for compact 2-manifolds
• A mean field type flow. I: compactness of solutions to a perturbed mean field type equation
• A mean field type flow. II: Existence and convergence
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• A remark on a result of Ding-Jost-Li-Wang

This page was built for publication: Another remark on a result of Ding-Jost-Li-Wang