Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with non umbilic boundary

We study the stability of compactness of solutions for the Yamabe boundary problem on a compact Riemannian manifold with non umbilic boundary. We prove that the set of solutions of Yamabe boundary problem is a compact set when perturbing the mean curvature of the boundary from below and the scalar c...

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Bibliographic Details
Main Authors: Marco G. Ghimenti, Anna Maria Micheletti
Format: Article
Language:English
Published: AIMS Press 2022-03-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022064?viewType=HTML