MIN-MAX schemes for \(\mathrm{SU}(3)\) Toda systems

DOI10.1007/s11784-016-0361-5zbMath1368.35100OpenAlexW2556668053MaRDI QIDQ523344

Andrea Malchiodi

Publication date: 20 April 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0361-5

zbMATH Keywords

min-max schemesChern-Simons vorticesToda systems of Liouville equations

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Variational methods for higher-order elliptic equations (35J35)

Related Items (1)

Degree counting formula for non-symmetric Toda systems of rank two

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Existence and multiplicity result for the singular Toda system
• Weighted barycentric sets and singular Liouville equations on compact surfaces
• New improved Moser-Trudinger inequalities and singular Liouville equations on compact surfaces
• 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
• Some existence results for the Toda system on closed surfaces
• Morse theory and a scalar field equation on compact surfaces
• On the evolution of harmonic mappings of Riemannian surfaces
• Harmonic maps of the two-sphere into a complex Grassmann manifold. II
• Prescribing Gaussian curvatures on surfaces with conical singularities
• Harnack type inequality: The method of moving planes
• On a sharp Sobolev-type inequality on two-dimensional compact manifolds
• Existence results for mean field equations
• Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
• The differential equation \(\Delta u=8\pi-8\pi he^u\) on a compact Riemann surface
• Sharp estimates for fully bubbling solutions of a \(\mathrm{SU}(3)\) Toda system
• A note on compactness properties of the singular Toda system
• Existence of conformal metrics with constant \(Q\)-curvature
• A deformation lemma with an application to a mean field equation
• 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
• A topological degree counting for some Liouville systems of mean field type
• Symmetric Joins and Weighted Barycenters
• EXISTENCE RESULT FOR THE MEAN FIELD PROBLEM ON RIEMANN SURFACES OF ALL GENUSES
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Topological degree for a mean field equation on Riemann surfaces
• Analytic aspects of the Toda system: I. A Moser‐Trudinger inequality
• Self-Dual Chern-Simons Theories
• A Variational Analysis of the Toda System on Compact Surfaces
• On the Leray-Schauder degree of the Toda system on compact surfaces
• Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions

This page was built for publication: MIN-MAX schemes for \(\mathrm{SU}(3)\) Toda systems