On the structure of the conformal Gaussian curvature equation on \(R^ 2\). II

DOI10.1007/BF01459266zbMath0753.35032MaRDI QIDQ1184148

Kuo-Shung Cheng, Wei-Ming Ni

Publication date: 28 June 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164839

zbMATH Keywords

sub- and super solutionsasymptotic behaviour of the metricpower-like decaying at infinity

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Perturbations in context of PDEs (35B20)

Related Items (12)

The conformal plate buckling equation ⋮ Unnamed Item ⋮ Existence and compactness of conformal metrics on the plane with unbounded and sign-changing Gaussian curvature ⋮ Prescribing Chern scalar curvatures on noncompact manifolds ⋮ Two-dimensional solutions of a mean field equation on flat tori ⋮ A Liouville theorem for conformal Gaussian curvature type equations in \({\mathbb{R}}^2\) ⋮ On the conformal Gaussian curvature equation in \(\mathbb{R}^2\) ⋮ Classification of non-topological solutions of an elliptic equation arising from self-dual gauged sigma model ⋮ On Gaussian curvature equation in \(\mathbb{R}^2\) with prescribed nonpositive curvature ⋮ Liouville-type theorems for conformal Gaussian curvature equations in \(\mathbb R^2\). ⋮ Surfaces with prescribed Gauss curvature ⋮ Radial symmetry of positive solutions of nonlinear elliptic equations

Cites Work

• On the structure of the conformal Gaussian curvature equation on \({\mathbb{R}}^ 2\)
• Slowly growing integral and subharmonic functions
• Unnamed Item
• Unnamed Item
• Unnamed Item

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