Qualitative properties of singular solutions to fractional elliptic equations (Q5038416)

scientific article; zbMATH DE number 7595110

Language	Label	Description	Also known as
English	Qualitative properties of singular solutions to fractional elliptic equations	scientific article; zbMATH DE number 7595110

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instance of

scholarly article

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title

Qualitative properties of singular solutions to fractional elliptic equations (English)

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Proceedings of the Royal Society of Edinburgh: Section A Mathematics

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publication date

30 September 2022

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zbMATH Keywords

moving spheres, blow-up analysis, singular solutions, fractional problems

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asymptotic symmetry result

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1017/prm.2021.52

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cites work

A characteristic property of spheres

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A gluing approach for the fractional Yamabe problem with isolated singularities

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Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

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Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities

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An Extension Problem Related to the Fractional Laplacian

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Fractional Laplacian in conformal geometry

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A direct method of moving planes for the fractional Laplacian

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A direct method of moving spheres on fractional order equations

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Local behavior of singular positive solutions of semilinear elliptic equations with Sobolev exponent

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Estimates of the conformal scalar curvature equation via the method of moving planes

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Estimate of the conformal scalar curvature equation via the method of moving planes. II

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Q5696772

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Existence results for the fractional Nirenberg problem

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Isolated singularities for a semilinear equation for the fractional Laplacian arising in conformal geometry

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Delaunay-type singular solutions for the fractional Yamabe problem

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Hitchhiker's guide to the fractional Sobolev spaces

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Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential

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Monotonicity and symmetry of singular solutions to quasilinear problems

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Singular solutions of fractional order conformal Laplacians

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Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics

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Asymptotic expansions for singular solutions of $\Delta u+e^u=0$ in a punctured disc

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Asymptotic Expansions of Solutions of the Yamabe Equation and the σk‐Yamabe Equation near Isolated Singular Points

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Asymptotic behavior of solutions to the $\sigma_{k}$-Yamabe equation near isolated singularities

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Harnack‐type inequality for fractional elliptic equations with critical exponent

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On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions

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The Nirenberg problem and its generalizations: a unified approach

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Refined asymptotics for constant scalar curvature metrics with isolated singularities

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Refined estimates for simple blow-ups of the scalar curvature equation on $S^n$

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Local asymptotic symmetry of singular solutions to nonlinear elliptic equations

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Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations

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Harnack type inequality and a priori estimates for solutions of a class of semilinear elliptic equations

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Asymptotic symmetry of singular solutions of semilinear elliptic equations

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Qualitative properties of singular solutions to nonlocal problems

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Radial symmetry for a quasilinear elliptic equation with a critical Sobolev growth and Hardy potential

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The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation

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Conformally flat manifolds, Kleinian groups and scalar curvature

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On the moving plane method for singular solutions to semilinear elliptic equations

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Nonlocal problems with Neumann boundary conditions

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A symmetry problem in potential theory

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Regularity of the obstacle problem for a fractional power of the laplace operator

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A Harnack inequality for fractional Laplace equations with lower order terms

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The critical semilinear elliptic equation with isolated boundary singularities

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Exact asymptotic behavior of singular positive solutions of fractional semi-linear elliptic equations

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On isolated singularities of fractional semi-linear elliptic equations

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Sharp blow up estimates and precise asymptotic behavior of singular positive solutions to fractional Hardy-Hénon equations

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Refined asymptotic estimates for conformal scalar curvature equation via moving sphere method

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Identifiers

zbMATH Open document ID

1501.35436

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DOI

10.1017/prm.2021.52

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5038416