A local estimate for super-Liouville equations on closed Riemann surfaces

DOI10.1007/s00526-014-0747-4zbMath1408.35052OpenAlexW1990016572MaRDI QIDQ2347171

Miaomiao Zhu, Chunqin Zhou, Juergen Jost

Publication date: 27 May 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-014-0747-4

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Blow-up in context of PDEs (35B44) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (5)

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 ⋮ Existence results for a super-Liouville equation on compact surfaces ⋮ Energy quantization for a singular super-Liouville boundary value problem

Cites Work

• Energy identities and blow-up analysis for solutions of the super Liouville equation
• Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds
• Harnack type inequality: The method of moving planes
• Conformally invariant systems of nonlinear PDE of Liouville type
• Profile of Blow-up Solutions to Mean Field Equations with Singular Data
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Super-Liouville Equations on Closed Riemann Surfaces
• Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions
• Riemannian geometry and geometric analysis
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