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September/October 2018 Classification of blow-up limits for the sinh-Gordon equation
Aleks Jevnikar, Juncheng Wei, Wen Yang
Differential Integral Equations 31(9/10): 657-684 (September/October 2018).

Abstract

The aim of this paper is to use a selection process and a careful study of the interaction of bubbling solutions to show a classification result for the blow-up values of the elliptic sinh-Gordon equation $$ \Delta u+h_1e^u-h_2e^{-u}=0 \qquad \mathrm{in}~B_1\subset\mathbb R^2. $$ In particular, we get that the blow-up values are multiple of $8\pi.$ It generalizes the result of Jost, Wang, Ye and Zhou [20] where the extra assumption $h_1 = h_2$ is crucially used.

Citation

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Aleks Jevnikar. Juncheng Wei. Wen Yang. "Classification of blow-up limits for the sinh-Gordon equation." Differential Integral Equations 31 (9/10) 657 - 684, September/October 2018.

Information

Published: September/October 2018
First available in Project Euclid: 13 June 2018

zbMATH: 06945776
MathSciNet: MR3814561

Subjects:
Primary: 35B44, 35J61, 35R01

Rights: Copyright © 2018 Khayyam Publishing, Inc.

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Vol.31 • No. 9/10 • September/October 2018
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