Self-gravitating cosmic strings and the Alexandrov’s inequality for Liouville-type equations

DOI10.1142/S0219199715500686zbMath1342.35384arXiv1409.3135MaRDI QIDQ2809269

Daniele Bartolucci, Daniele Castorina

Publication date: 27 May 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3135

zbMATH Keywords

conical singularitiesisoperimetric inequalities on surfacesself-gravitating cosmic stringssingular Liouville equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Elliptic equations and elliptic systems (35J99) Astrophysical cosmology (85A40) PDEs in connection with astronomy and astrophysics (35Q85)

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Cites Work

• Blow-up analysis for a cosmic strings equation
• Elliptic partial differential equations of second order
• A quantization property for blow up solutions of singular Liouville-type equations
• On the best pinching constant of conformal metrics on \(\mathbb S^2\) with one and two conical singularities
• Isoperimetrische Ungleichungen für Bereiche auf Flächen
• Supercritical Conformal Metrics on Surfaces with Conical Singularities
• STABLE AND UNSTABLE EQUILIBRIA OF UNIFORMLY ROTATING SELF-GRAVITATING CYLINDERS
• Blow‐up analysis, existence and qualitative properties of solutions for the two‐dimensional Emden–Fowler equation with singular potential
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