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.

A conformal Yamabe problem with potential on the Euclidean space

Catino G.;Gazzola F.;
2021

Abstract

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.
Conformal problems
Constant scalar curvature
Ordinary differential equations
Yamabe problem
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/1187417
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