Asymptotic radial symmetry for solutions of Δu + eu = 0 in a punctured disc

  title={Asymptotic radial symmetry for solutions of $\Delta$u + eu = 0 in a punctured disc},
  author={Kai-Seng Chou and Tom Yau-heng Wan},
  journal={Pacific Journal of Mathematics},
  • K. Chou, T. Y. Wan
  • Published 1 April 1994
  • Mathematics
  • Pacific Journal of Mathematics
Singular hyperbolic metrics and negative subharmonic functions
We propose a conjecture that the monodromy group of a singular hyperbolic metric on a non-hyperbolic Riemann surface is {\it Zariski dense} in ${\rm PSL}(2,\,{\Bbb R})$. By using meromorphic
Classiication of Solutions of a Toda System in R 2 Classification of Solutions of a Toda System in R 2 J Urgen Jost and Guofang Wang
In this paper, we consider solutions of the following (open) Toda system (Toda lattice) for SU(N + 1)
A Liouville Theorem for Möbius Invariant Equations
Asymptotic expansions for singular solutions of $$\Delta u+e^u=0$$ Δ u + e u
We study asymptotic behavior of singular solutions of $$\Delta u+e^u=0$$ Δ u + e u = 0 in $$B \backslash \{0\}$$ B \ { 0 } , where $$B=\{x \in {\mathbb {R}}^2: \; |x|<1\}$$ B = { x ∈ R 2 : | x | < 1
Constant 𝑄-curvature metrics with a singularity
For dimensions n ≥ 3, we classify singular solutions to the generalized Liouville equation (−∆)n/2u = e on R \ {0} with the finite integral condition
Hyperbolic energy and Maskit gluings
We derive a formula for the energy of asymptotically locally hyperbolic (ALH) manifolds obtained by a gluing at infinity of two ALH manifolds. As an application we show that there exist three
La ecuaci\'on de Keller-Segel
The purpose of this work is the study of chemotaxis and how to model it through the equations of Keller-Segel. Chemotaxis is a natural process which induces the organisms to direct their movement
Singular Solutions of the Liouville Equation in a Punctured Disc