Removability of singularities and superharmonicity for some fractional Laplacian equations
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Publication:5075679
DOI10.1512/iumj.2022.71.8907zbMath1489.35296arXiv2001.11683OpenAlexW3016821324MaRDI QIDQ5075679
María del Mar González, Wei, Juncheng, Weiwei Ao, Ali Hyder
Publication date: 11 May 2022
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.11683
Weak solutions to PDEs (35D30) Singularity in context of PDEs (35A21) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)
Related Items (5)
Local behavior of solutions to a fractional equation with isolated singularity and critical Serrin exponent ⋮ Complete metrics with constant fractional higher order \(Q\)-curvature on the punctured sphere ⋮ Local estimates for conformal \(Q\)-curvature equations ⋮ Uniqueness of entire ground states for the fractional plasma problem ⋮ Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities
Cites Work
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- Large \(s\)-harmonic functions and boundary blow-up solutions for the fractional Laplacian
- A pointwise inequality for the fourth-order Lane-Emden equation
- On local behavior of singular positive solutions to nonlocal elliptic equations
- Singular solutions of fractional order conformal Laplacians
- Conformally flat metrics of constant positive scalar curvature on subdomains of the sphere
- Nonlocal curvature and topology of locally conformally flat manifolds
- Very large solutions for the fractional Laplacian: towards a fractional Keller-Osserman condition
- Muckenhoupt \(A_p\)-properties of distance functions and applications to Hardy-Sobolev-type inequalities
- Isolated singularities for a semilinear equation for the fractional Laplacian arising in conformal geometry
- Further results on the fractional Yamabe problem: the umbilic case
- Existence of positive weak solutions for fractional Lane-Emden equations with prescribed singular sets
- A gluing approach for the fractional Yamabe problem with isolated singularities
- Structure of conformal metrics on \(\mathbb{R}^n\) with constant \(Q\)-curvature.
- On higher-dimensional singularities for the fractional Yamabe problem: a nonlocal mazzeo-pacard program
- Hardy inequalities and Assouad dimensions
- Delaunay-type singular solutions for the fractional Yamabe problem
- Existence theorems of the fractional Yamabe problem
- Fractional-order operators: boundary problems, heat equations
- Fractional conformal Laplacians and fractional Yamabe problems
- Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities
- On Fractional GJMS Operators
- On positive solutions to semilinear conformally invariant equations on locally conformally flat manifolds
- Spectral Characterization of Poincare-Einstein Manifolds with Infinity of Positive Yamabe Type
- Classification of isolated singularities of nonnegative solutions to fractional semi-linear elliptic equations and the existence results
- An Extension Problem Related to the Fractional Laplacian
- A framework for fractional Hardy inequalities
- Singular boundary behaviour and large solutions for fractional elliptic equations
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