Differential and Integral Equations

A nonexistence result on harmonic diffeomorphisms between punctured spaces

Shi-Zhong Du and Xu-Qian Fan

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Abstract

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

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

Dates
First available in Project Euclid: 3 May 2016

Permanent link to this document
https://projecteuclid.org/euclid.die/1462298686

Mathematical Reviews number (MathSciNet)
MR3498878

Zentralblatt MATH identifier
06604496

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

Citation

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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