Super-Liouville Equations on Closed Riemann Surfaces

DOI10.1080/03605300600962663zbMath1210.35093arXivmath/0511230OpenAlexW2020938217MaRDI QIDQ5421512

Chunqin Zhou, Guofang Wang, Juergen Jost

Publication date: 24 October 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511230

zbMATH Keywords

blow-upcompactnessLiouville equationsuper-Liouville equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Applications of global differential geometry to the sciences (53C80)

Related Items (13)

Min-max solutions for super sinh-Gordon equations on compact surfaces ⋮ The super-Toda system and bubbling of spinors ⋮ From harmonic maps to the nonlinear supersymmetric sigma model of quantum field theory: at the interface of theoretical physics, Riemannian geometry, and nonlinear analysis ⋮ Energy identities and blow-up analysis for solutions of the super Liouville equation ⋮ Characterization of the Palais-Smale sequences for the conformal Dirac-Einstein problem and applications ⋮ The boundary value problem for the super-Liouville equation ⋮ The qualitative boundary behavior of blow-up solutions of the super-Liouville equations ⋮ Blow-up analysis for solutions to Neumann boundary value problem ⋮ Existence results for a super-Liouville equation on compact surfaces ⋮ Energy quantization for a singular super-Liouville boundary value problem ⋮ Some properties of Dirac-Einstein bubbles ⋮ Some explicit constructions of Dirac-harmonic maps ⋮ A local estimate for super-Liouville equations on closed Riemann surfaces

Cites Work

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• What kinds of singular surfaces can admit constant curvature?
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• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Analytic aspects of the Toda system: I. A Moser‐Trudinger inequality
• Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions
• Riemannian geometry and geometric analysis

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