Calculus of Variations and Geometric Measure Theory
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G. Catino - F. Gazzola - P. Mastrolia

A conformal Yamabe problem with potential on the Euclidean space

created by catino on 19 Jul 2019
modified on 13 Nov 2019


Submitted Paper

Inserted: 19 jul 2019
Last Updated: 13 nov 2019

Year: 2019


We consider, in the Euclidean setting, a conformal Yamabe-type equation related to a potential generalization of the classical constant scalar curvature problem and which naturally arises in the study of Ricci solitons structures. We prove existence and nonexistence results, focusing on the radial case, under some general hypothesis on the potential.


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