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On a singular Liouville-type equation and the Alexandrov isoperimetric inequlity

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Publication:4633452
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DOI10.2422/2036-2145.201609_001zbMath1414.35038arXiv1609.01512OpenAlexW2518593096MaRDI QIDQ4633452

Daniele Bartolucci, Daniele Castorina

Publication date: 2 May 2019

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01512


zbMATH Keywords

Alexandrov's surfaces of bounded curvaturesingular abstract surfaces


Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Local Riemannian geometry (53B20) Singular elliptic equations (35J75) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)


Related Items (2)

Asymptotic behavior of conformal metrics on torus ⋮ A singular sphere covering inequality: uniqueness and symmetry of solutions to singular Liouville-type equations




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