Calculus of Variations and Geometric Measure Theory
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M. Mayer

None compactness versus critical points at infinity: an example

created by mayer on 13 Mar 2019



Inserted: 13 mar 2019

Year: 2019

ArXiv: 1903.04943 PDF


We illustrate an example of a generic, positive function K on a Riemannian manifold to be conformally prescribed as the scalar curvature, for which the corresponding Yamabe type L2-gradient flow exhibits non compact flow lines, while a slight modification of it is compact.

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