Sharp estimates for solutions of mean field equations with collapsing singularity
From MaRDI portal
Publication:4603824
DOI10.1080/03605302.2017.1382519zbMath1401.35119arXiv1702.07854OpenAlexW2605590046MaRDI QIDQ4603824
Chang-Shou Lin, Wen Yang, Youngae Lee, Grabriella Tarantello
Publication date: 19 February 2018
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.07854
Elliptic equations on manifolds, general theory (58J05) Blow-up in context of PDEs (35B44) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items
On the blow-up analysis at collapsing poles for solutions of singular Liouville-type equations ⋮ Asymptotics for minimizers of a Donaldson functional and mean curvature 1-immersions of surfaces into hyperbolic 3-manifolds ⋮ Uniqueness of bubbling solutions with collapsing singularities ⋮ Some geometric inequalities related to Liouville equation ⋮ Existence of bubbling solutions without mass concentration ⋮ On the asymptotics for minimizers of Donaldson functional in Teichmüller theory ⋮ Uniqueness of bubbling solutions of mean field equations ⋮ Blow up at infinity in the SU(3) Chern-Simons model, part I
Cites Work
- 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
- On non-topological solutions for planar Liouville systems of Toda-type
- Blow-up analysis for a cosmic strings equation
- Mean field equations, hyperelliptic curves and modular forms. I
- Asymptotic blow-up analysis for singular Liouville type equations with applications
- Elliptic functions, Green functions and the mean field equations on tori
- Degree counting and shadow system for Toda system of rank two: one bubbling
- Some existence results for the Toda system on closed surfaces
- Analytical, geometrical and topological aspects of a class of mean field equations on surfaces
- Mean field equations of Liouville type with singular data: sharper estimates
- Multiplicity results for the assigned Gauss curvature problem in \(\mathbb R^2\)
- Morse theory and a scalar field equation on compact surfaces
- Harnack type inequality: The method of moving planes
- On a sharp Sobolev-type inequality on two-dimensional compact manifolds
- Double vortex condensates in the Chern-Simons-Higgs theory
- Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
- The scalar curvature equation on 2- and 3-spheres
- The relativistic non-Abelian Chern-Simons equations
- Construction of singular limits for a semilinear elliptic equation in dimension 2
- Uniqueness of solutions to the mean field equations for the spherical Onsager vortex
- The sphere covering inequality and its applications
- When ``blow-up does not imply ``concentration: a detour from Brézis-Merle's result
- Green function, Painlevé VI equation, and Eisenstein series of weight one
- 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
- Non-topological multi-vortex solutions to the self-dual Chern-Simons-Higgs equation
- Existence of bubbling solutions for Chern-Simons model on a torus
- Degree counting for Toda system with simple singularity: one point blow up
- Existence of bubbling solutions without mass concentration
- An expository survey on the recent development of mean field equations
- Blow-up solutions of the self-dual Chern-Simons-Higgs vortex equation
- On the Ambjorn-Olesen electroweak condensates
- 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)euin two dimensions
- Topological degree for a mean field equation on Riemann surfaces
- Energy Concentration and A Priori Estimates forB2andG2Types of Toda Systems
- Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
- Metrics of positive curvature with conic singularities on the sphere
- Mean Field Equation of Liouville Type with Singular Data: Topological Degree
- ASYMPTOTIC BEHAVIOR OF BLOWUP SOLUTIONS FOR ELLIPTIC EQUATIONS WITH EXPONENTIAL NONLINEARITY AND SINGULAR DATA
- Vortex condensates for the SU(3) Chern-Simons theory
- The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory
