Conformal metrics with prescribed fractional \(Q\)-curvatures on the standard \(n\)-dimensional sphere

DOI10.1016/j.difgeo.2019.101562zbMath1437.35318OpenAlexW2981929811WikidataQ115354886 ScholiaQ115354886MaRDI QIDQ2304630

Khadijah Abdullah Sharaf, Hichem Chtioui

Publication date: 13 March 2020

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2019.101562

zbMATH Keywords

existence of solutionsfractional Laplacianconformal metrics with prescribed curvature

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Related Items

Topological differences at infinity for nonlinear problems related to the fractional Laplacian ⋮ A Complete Study of the Lack of Compactness and Existence Results of a Fractional Nirenberg Equation via a Flatness Hypothesis. Part II ⋮ Compactness and existence results of the prescribing fractional \(Q\)-curvature problem on \(\mathbb{S}^n\) ⋮ On the prescribed fractional \(Q\)-curvatures problem on \(\mathbb{S}^n\) under pinching conditions ⋮ The topological contribution of the critical points at infinity for critical fractional Yamabe-type equations

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