Liouville's formula in arbitrary planar domains

DOI10.1016/J.NA.2004.10.018zbMath1122.35029OpenAlexW1998185099MaRDI QIDQ1763992

Maria Luiza Leite, Francisco A. Brito, Jorge G. Hounie

Publication date: 22 February 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.10.018

zbMATH Keywords

Liouville's formulaLiouville's equationCovering space

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items (6)

Vlasov equilibria: varying the temperature or the density distributions ⋮ The Liouville equation in an annulus ⋮ Surfaces with constant Chebyshev angle ⋮ Surfaces with constant Chebyshev angle. II. ⋮ The Liouville equation in a half-plane ⋮ A CHARACTERIZATION OF THE CATENOID AND HELICOID

Cites Work

• Classification of solutions of some nonlinear elliptic equations
• Asymptotic radial symmetry for solutions of \(\Delta u+e^ u=0\) in a punctured disc
• Uniqueness and globality of the Liouville formula for entire solutions of \(\frac{\partial^2\log\lambda}{\partial z\partial\overline z} + \frac\lambda2=0\)
• Conformally invariant systems of nonlinear PDE of Liouville type
• Correction to ``Asymptotic radial symmetry for solutions of \(\Delta u+e^ u=0\) in a punctured disc
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Liouville's formula in arbitrary planar domains