Properties of Solutions to Fractional Laplace Equation with Singular Term

DOI10.4208/jpde.v36.n2.4zbMath1524.35021OpenAlexW4382404805MaRDI QIDQ6172565

Xinjing Wang

Publication date: 19 July 2023

Published in: Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jpde.v36.n2.4

zbMATH Keywords

symmetrymethod of moving planesfractional Laplace equationextension method

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Generalized solutions to partial differential equations (35D99) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• A Harnack inequality for fractional Laplace equations with lower order terms
• Symmetry and related properties via the maximum principle
• Classification of solutions of some nonlinear elliptic equations
• Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition
• Fractional Hardy-Hénon equations on exterior domains
• Moving planes for nonlinear fractional Laplacian equation with negative powers
• Classifications of nonnegative solutions to some elliptic problems.
• Positive harmonic functions on the upper half space satisfying a nonlinear boundary condition
• Indefinite fractional elliptic problem and Liouville theorems
• A concave—convex elliptic problem involving the fractional Laplacian
• Liouville theorems on some indefinite equations
• An Extension Problem Related to the Fractional Laplacian
• Classification of solutions for an integral equation

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