Calculus of Variations and Geometric Measure Theory

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 05 Dec 2020


Accepted Paper

Inserted: 19 jul 2019
Last Updated: 5 dec 2020

Journal: Ann. Mat. Pura Appl.
Year: 2020


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.