A conformal Yamabe problem with potential on the Euclidean space

DOI10.1007/s10231-021-01067-9zbMath1471.53032arXiv1907.08476OpenAlexW3131422558WikidataQ114228209 ScholiaQ114228209MaRDI QIDQ2041490

Paolo Mastrolia, Giovanni Catino, Gazzola, Filippo

Publication date: 23 July 2021

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.08476

zbMATH Keywords

ordinary differential equationsYamabe problemconstant scalar curvatureconformal problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Conformal structures on manifolds (53C18)

Cites Work

• Unnamed Item
• Symmetry and related properties via the maximum principle
• Conformal Ricci solitons and related integrability conditions
• Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\)
• A potential generalization of some canonical Riemannian metrics
• Radial entire solutions for supercritical biharmonic equations
• Métriques riemanniennes et courbure
• Negative Scalar Curvature Metrics on Noncompact Manifolds
• Recent Progress on Ricci Solitons
• The Yamabe problem
• A Perspective on Canonical Riemannian Metrics

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