Multiplicity results for the assigned Gauss curvature problem in \(\mathbb R^2\)

DOI10.1016/j.na.2008.12.040zbMath1165.35366arXiv0809.3845OpenAlexW2021673181MaRDI QIDQ1017722

Jean Dolbeault, Maria J. Esteban, Grabriella Tarantello

Publication date: 12 May 2009

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

Full work available at URL: https://arxiv.org/abs/0809.3845

zbMATH Keywords

multiplicityuniquenessblow-upRiemannian manifoldsGauss curvaturestereographic projectionLiouville equationconical singularitiesradial symmetryEmden-Fowler transformationOnsager equationself-dual gauge field vortices

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Invariance and symmetry properties for PDEs on manifolds (58J70) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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