Differential and Integral Equations

Classification of blow-up limits for the sinh-Gordon equation

Aleks Jevnikar, Juncheng Wei, and Wen Yang

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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.

Article information

Differential Integral Equations, Volume 31, Number 9/10 (2018), 657-684.

First available in Project Euclid: 13 June 2018

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J61: Semilinear elliptic equations 35R01: Partial differential equations on manifolds [See also 32Wxx, 53Cxx, 58Jxx] 35B44: Blow-up


Jevnikar, Aleks; Wei, Juncheng; Yang, Wen. Classification of blow-up limits for the sinh-Gordon equation. Differential Integral Equations 31 (2018), no. 9/10, 657--684. https://projecteuclid.org/euclid.die/1528855434

Export citation