On a fractional Nirenberg problem involving the square root of the Laplacian on \(\mathbb{S}^3\)
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Publication:6158264
DOI10.1007/s12220-023-01291-0zbMath1516.35468arXiv2202.13561MaRDI QIDQ6158264
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Publication date: 31 May 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.13561
Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)
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Cites Work
- Existence results for the fractional Nirenberg problem
- A complete study of the lack of compactness and existence results of a fractional Nirenberg equation via a flatness hypothesis. I
- Non-local gradient dependent operators
- Hitchhiker's guide to the fractional Sobolev spaces
- Fractional Laplacian in conformal geometry
- Prescribing Gaussian curvature on \(S^ 2\)
- The scalar-curvature problem on the standard three-dimensional sphere
- Gaussian curvature and conformal mapping
- Concentration of solutions for the fractional Nirenberg problem
- A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)
- Prescribing Gaussian curvature on S 2
- Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
- The scalar curvature equation on 2- and 3-spheres
- Scattering matrix in conformal geometry
- Conformally covariant pseudo-differential operators
- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
- A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow
- Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
- Prescribed scalar curvature on the \(n\)-sphere
- An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
- On a Nirenberg-type problem involving the square root of the Laplacian
- On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
- Compactness and existence results of the prescribing fractional \(Q\)-curvature problem on \(\mathbb{S}^n\)
- Nonlinear Diffusion with Fractional Laplacian Operators
- Conformally Invariant Powers of the Laplacian, I: Existence
- Lévy Processes and Stochastic Calculus
- On –δu = K(x)u5 in ℝ3
- Financial Modelling with Jump Processes
- Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness
- On a Fractional Nirenberg Problem, Part II: Existence of Solutions
- On a fractional Nirenberg type problem on the n-dimensional sphere
- An Extension Problem Related to the Fractional Laplacian
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