A necessary condition for prescribing mean curvature equations in 𝔹ⁿ

DOI10.1090/proc/16023zbMath1498.35287OpenAlexW4212919597MaRDI QIDQ5869792

Shaodong Wang, Chenkai Liu

Publication date: 29 September 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16023

zbMATH Keywords

conformal metricunit ballprescribed mean curvature

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Semilinear elliptic equations (35J61) PDEs on manifolds (35R01)

Cites Work

• Conformal metrics on the unit ball with prescribed mean curvature
• On a min-max procedure for the prescribed boundary mean curvature problem in \(\mathbb{B}_3\)
• On the boundary mean curvature equation on \(\mathbb{B}^{n}\)
• An existence theorem of conformal scalar-flat metrics on manifolds with boundary
• The prescribed boundary mean curvature problem on \(\mathbb B^4\)
• Problèmes de Neumann non linéaires sur les variétés riemanniennes
• The prescribed boundary mean curvature problem on the standard \(n\)-dimensional ball
• Conformal metrics with prescribed boundary mean curvature on balls
• Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary
• Barycenter technique and the Riemann mapping problem of Cherrier-Escobar
• Conformal metrics with prescribed mean curvature on the boundary
• Conformal metrics on the ball with zero scalar curvature and prescribed mean curvature on the boundary
• An existence theorem for the Yamabe problem on manifolds with boundary
• Conformal deformations to scalar-flat metrics with constant mean curvature on the boundary
• A Morse theoretical approach for the boundary mean curvature problem on \(\mathbb B^4\)
• Infinitely Many Solutions for the Prescribed Boundary Mean Curvature Problem in 𝔹^N
• PRESCRIBING MEAN CURVATURE ON 𝔹ⁿ
• Existence results for the Yamabe problem on manifolds with boundary
• A necessary and sufficient condition for the nirenberg problem
• Prescribed mean curvature equation on the unit ball in the presence of reflection or rotation symmetry
• An Extension Problem Related to the Fractional Laplacian

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