The boundary value problem for the super-Liouville equation

DOI10.1016/j.anihpc.2013.06.002zbMath1319.30028OpenAlexW1966251714MaRDI QIDQ457832

Guofang Wang, Miaomiao Zhu, Chunqin Zhou, Juergen Jost

Publication date: 29 September 2014

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2013.06.002

zbMATH Keywords

boundary value problemsLiouville equation

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Riemann surfaces (30F99)

Related Items (11)

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 ⋮ Conformal metrics with prescribed gaussian and geodesic curvatures ⋮ A double mean field equation related to a curvature prescription problem ⋮ The \(C^0\)-convergence at the Neumann boundary for Liouville equations ⋮ Blow-up analysis for solutions to Neumann boundary value problem ⋮ Energy quantization for a singular super-Liouville boundary value problem ⋮ Quantization of the blow-up value for the Liouville equation with exponential Neumann boundary condition ⋮ Liouville type equation with exponential Neumann boundary condition and with singular data ⋮ Boundary value problems for Dirac-harmonic maps and their heat flows ⋮ Conformal Dirac-Einstein equations on manifolds with boundary.

Cites Work

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• Harmonic spinors
• Eigenvalue boundary problems for the Dirac operator
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• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• 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
• Super-Liouville Equations on Closed Riemann Surfaces
• Riemannian geometry and geometric analysis

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