A gluing approach for the fractional Yamabe problem with isolated singularities
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Publication:2187301
DOI10.1515/crelle-2018-0032zbMath1448.35539arXiv1609.08903OpenAlexW2963470058WikidataQ128628268 ScholiaQ128628268MaRDI QIDQ2187301
María del Mar González, Azahara DelaTorre, Weiwei Ao, Wei, Juncheng
Publication date: 2 June 2020
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.08903
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Cites Work
- Unnamed Item
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- On local behavior of singular positive solutions to nonlocal elliptic equations
- On spikes concentrating on line-segments to a semilinear Neumann problem
- Fractional Laplacian in conformal geometry
- Singular solutions of fractional order conformal Laplacians
- Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe-type equations
- Complete constant mean curvature surfaces in Euclidean three-space
- Some new entire solutions of semilinear elliptic equations on \(\mathbb R^n\)
- Nonlocal curvature and topology of locally conformally flat manifolds
- Further results on the fractional Yamabe problem: the umbilic case
- Existence of positive weak solutions for fractional Lane-Emden equations with prescribed singular sets
- Connected sum constructions for constant scalar curvature metrics
- Constant scalar curvature metrics with isolated singularities
- Delaunay-type singular solutions for the fractional Yamabe problem
- Existence theorems of the fractional Yamabe problem
- A non-compactness result on the fractional Yamabe problem in large dimensions
- Fractional conformal Laplacians and fractional Yamabe problems
- Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities
- Connected sums of constant mean curvature surfaces in Euclidean 3 space
- On Fractional GJMS Operators
- Nondegeneracy of the bubble in the critical case for nonlocal equations
- The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
- Elliptic theory of differential edge operators I
- Elliptic theory of differential edge operators II: boundary value problems
- An Extension Problem Related to the Fractional Laplacian
- Constant mean curvature surfaces with Delaunay ends
