Differential and Integral Equations

A nonexistence result on harmonic diffeomorphisms between punctured spaces

Shi-Zhong Du and Xu-Qian Fan

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We will prove a result of nonexistence on harmonic diffeomorphisms between punctured spaces. In particular, we will give an elementary proof to the nonexistence of rotationally symmetric harmonic diffeomorphisms from the punctured Euclidean space onto the punctured hyperbolic space.

Article information

Differential Integral Equations, Volume 29, Number 7/8 (2016), 791-799.

First available in Project Euclid: 3 May 2016

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 58E20: Harmonic maps [See also 53C43], etc. 34B15: Nonlinear boundary value problems


Du, Shi-Zhong; Fan, Xu-Qian. A nonexistence result on harmonic diffeomorphisms between punctured spaces. Differential Integral Equations 29 (2016), no. 7/8, 791--799. https://projecteuclid.org/euclid.die/1462298686

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