A compactness result for scalar-flat metrics on low dimensional manifolds with umbilic boundary

DOI10.1007/s00526-021-01983-xzbMath1467.35160arXiv2009.00989OpenAlexW3169964186WikidataQ115386631 ScholiaQ115386631MaRDI QIDQ2037115

Marco Ghimenti, Anna Maria Micheletti

Publication date: 30 June 2021

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

Full work available at URL: https://arxiv.org/abs/2009.00989

zbMATH Keywords

Riemannian manifoldNeumann type problemcompactness of the set of positive solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with non umbilic boundary ⋮ Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with umbilic boundary ⋮ Blowing-up solutions for supercritical Yamabe problems on manifolds with umbilic boundary ⋮ Energy bounds of sign-changing solutions to Yamabe equations on manifolds with boundary

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