The \(\operatorname{SU}(3)\) Toda system with multiple singular sources

DOI10.2140/pjm.2020.305.645zbMath1441.35127arXiv1902.07298OpenAlexW3098211596MaRDI QIDQ2181513

Ali Hyder, Chang-Shou Lin, Wei, Juncheng

Publication date: 19 May 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07298

zbMATH Keywords

existence of solutionblow-up analysisToda system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44)

Related Items (4)

Constant \(Q\)-curvature metrics on conic 4-manifolds ⋮ Sharp upper bound of the number of solutions for the \(\mathrm{SU} (N + 1)\) Toda system on torus with non-critical parameters ⋮ On the general Toda system with multiple singular points ⋮ Constant 𝑄-curvature metrics with a singularity

Cites Work

• Unnamed Item
• Existence and non-existence results for the \(SU(3)\) singular Toda system on compact surfaces
• Asymmetric blow-up for the \(\mathrm{SU}(3)\) Toda system
• An improved geometric inequality via vanishing moments, with applications to singular Liouville equations
• A class of existence results for the singular Liouville equation
• New improved Moser-Trudinger inequalities and singular Liouville equations on compact surfaces
• Holomorphic curves and Toda systems
• Classification of solutions to the higher order Liouville's equation on \({\mathbb{R}^{2m}}\)
• A general existence result for the Toda system on compact surfaces
• A topological join construction and the Toda system on compact surfaces of arbitrary genus
• Nonradial solutions for a conformally invariant fourth order equation in \(\mathbb {R}^4\)
• Conformal complete metrics with prescribed non-negative Gaussian curvature in \({\mathbb{R}}^ 2\)
• Harmonic maps of the two-sphere into a complex Grassmann manifold. II
• Classification of solutions of some nonlinear elliptic equations
• The relativistic non-Abelian Chern-Simons equations
• A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
• On rank-2 Toda systems with arbitrary singularities: local mass and new estimates
• Classification and nondegeneracy of \(SU(n+1)\) Toda system with singular sources
• Liouville type equations with singular data and their applications to periodic multivortices for the electroweak theory
• The Liouville equation with singular data: a concentration-compactness principle via a local representation formula.
• Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains
• Structure of conformal metrics on \(\mathbb{R}^n\) with constant \(Q\)-curvature.
• A singular sphere covering inequality: uniqueness and symmetry of solutions to singular Liouville-type equations
• Classification of blowup limits for \(\mathrm{SU}(3)\) singular Toda systems
• New concentration phenomena for \(SU(3)\) Toda system
• New blow-up phenomena for \(\mathrm{SU}(n+1)\) Toda system
• A singular Moser-Trudinger embedding and its applications
• Isometric imbedding of complex manifolds
• On a class of elliptic problems in R²: symmetry and uniqueness results
• Supercritical Conformal Metrics on Surfaces with Conical Singularities
• Prescribing Curvature on Compact Surfaces with Conical Singularities
• A continuum of solutions for the SU(3) Toda System exhibiting partial blow-up: Figure 1.
• A Trudinger Inequality on Surfaces with Conical Singularities
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Liouville Equation and Spherical Convex Polytopes
• Toda systems and hypergeometric equations
• Metrics of positive curvature with conic singularities on the sphere
• Local and Nonlocal Singular Liouville Equations in Euclidean Spaces
• Multiple condensate solutions for the Chern–Simons–Higgs theory
• Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions
• Vortex condensates for the SU(3) Chern-Simons theory

This page was built for publication: The \(\operatorname{SU}(3)\) Toda system with multiple singular sources