Local behavior of solutions to a fractional equation with isolated singularity and critical Serrin exponent

DOI10.3934/dcds.2022044zbMath1497.35221OpenAlexW4226065823MaRDI QIDQ2155726

Ke Wu, Wei, Juncheng

Publication date: 15 July 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2022044

zbMATH Keywords

singular solutionslocal behaviorsemilinear equation with fractional Laplacian

Mathematics Subject Classification ID

Singularity in context of PDEs (35A21) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (1)

Singularities of fractional Emden's equations via Caffarelli-Silvestre extension

Cites Work

• Local behavior of solutions to fractional Hardy-Hénon equations with isolated singularity
• A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis
• Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations
• Existence and convergence of positive weak solutions of \(-\Delta u=u^{n\over {n-2}}\) in bounded domains of \(\mathbb{R}^ n\), \(n\geq 3\)
• Existence of positive weak solutions with a prescribed singular set of semilinear elliptic equations
• Existence of positive weak solutions for fractional Lane-Emden equations with prescribed singular sets
• Local behavior of solutions of some elliptic equations
• On isolated singularities of fractional semi-linear elliptic equations
• On higher-dimensional singularities for the fractional Yamabe problem: a nonlocal mazzeo-pacard program
• Delaunay-type singular solutions for the fractional Yamabe problem
• Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities
• On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Classification of isolated singularities of nonnegative solutions to fractional semi-linear elliptic equations and the existence results
• An analytic construction of singular solutions related to a critical Yamabe problem
• Removability of singularities and superharmonicity for some fractional Laplacian equations
• Exact asymptotic behavior of singular positive solutions of fractional semi-linear elliptic equations
• Unique Continuation Property and Local Asymptotics of Solutions to Fractional Elliptic Equations
• An Extension Problem Related to the Fractional Laplacian
• Unnamed Item
• Unnamed Item

This page was built for publication: Local behavior of solutions to a fractional equation with isolated singularity and critical Serrin exponent