The Yamabe problem on Dirichlet spaces

zbMath1428.53045arXiv1306.4373MaRDI QIDQ5242655

Kazuo Akutagawa, Gilles Carron, Rafe R. Mazzeo

Publication date: 12 November 2019

Full work available at URL: https://arxiv.org/abs/1306.4373

zbMATH Keywords

regularityDirichlet spacesexistence of minimizing solutionsgeneralized Aubin inequalitylocal Yamambe invariantYamambe energy

Mathematics Subject Classification ID

Critical metrics (58E11) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Stratified sets (58A35)

Related Items (7)

Non-existence of Yamabe minimizers on singular spheres ⋮ Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds ⋮ The Yamabe problem for distributional curvature ⋮ Conformally prescribed scalar curvature on orbifolds ⋮ Convergence of the Yamabe flow on singular spaces with positive Yamabe constant ⋮ The Yamabe invariant ⋮ Hölder regularity of solutions for Schrödinger operators on stratified spaces

This page was built for publication: The Yamabe problem on Dirichlet spaces