Nonexistence of critical fractional Sobolev-Hardy elliptic problems

DOI10.1007/S41478-020-00298-YzbMath1481.35201OpenAlexW3118298829MaRDI QIDQ2064075

Jinguo Zhang

Publication date: 4 January 2022

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-020-00298-y

zbMATH Keywords

Dirichlet problemnonexistencecritical Sobolev-Hardy exponentsemilinear equation with fractional Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Unnamed Item
• The Brezis-Nirenberg type problem involving the square root of the Laplacian
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
• Semilinear elliptic equations for the fractional Laplacian with Hardy potential
• A concave—convex elliptic problem involving the fractional Laplacian
• Some remarks on the solvability of non-local elliptic problems with the Hardy potential
• Unique Continuation Property and Local Asymptotics of Solutions to Fractional Elliptic Equations
• An Extension Problem Related to the Fractional Laplacian

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