Some properties of the Yamabe soliton and the related nonlinear elliptic equation

DOI10.1007/S00526-012-0583-3zbMath1285.35046arXiv1208.4445OpenAlexW2059192713WikidataQ115387462 ScholiaQ115387462MaRDI QIDQ2636889

Yanyan Li

Publication date: 18 February 2014

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4445

zbMATH Keywords

nonlinear elliptic equationYamabe solitons

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate elliptic equations (35J70) Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (11)

Soliton to the fractional Yamabe flow ⋮ Exact decay rate of a nonlinear elliptic equation related to the Yamabe flow ⋮ Existence and properties of ancient solutions of the Yamabe flow ⋮ Super fast vanishing solutions of the fast diffusion equation ⋮ On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow ⋮ On complete Yamabe solitons ⋮ A note on compact gradient Yamabe solitons ⋮ Asymptotic behaviour of singular solution of the fast diffusion equation in the punctured Euclidean space ⋮ Fractional Yamabe solitons and fractional Nirenberg problem ⋮ Yamabe solitons on 3-dimensional contact metric manifolds with Qφ = φQ ⋮ A note on compact CR Yamabe solitons

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• The yamabe flow on locally conformally flat manifolds with positive ricci curvature
• ON THE GLOBAL STRUCTURE OF CONFORMAL GRADIENT SOLITONS WITH NONNEGATIVE RICCI TENSOR

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