A uniqueness theorem for harmonic functions on the upper-half plane

DOI10.1090/S1088-4173-00-00067-9zbMath0970.31001MaRDI QIDQ4523221

Biao Ou

Publication date: 8 January 2001

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

analytic functionsharmonic functionsPicard theorems

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• Classification of solutions of some nonlinear elliptic equations
• On uniqueness of solutions of \(n\)-th order differential equations in conformal geometry
• On the solutions to some elliptic equations with nonlinear Neumann boundary conditions
• Uniqueness theorems through the method of moving spheres
• Positive harmonic functions on the upper half space satisfying a nonlinear boundary condition
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