Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains
From MaRDI portal
Publication:1993981
DOI10.1016/j.jde.2018.07.053zbMath1405.35046arXiv1804.07009OpenAlexW2797328094MaRDI QIDQ1993981
Chang-Shou Lin, Aleks Jevnikar, Daniele Bartolucci
Publication date: 6 November 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.07009
uniqueness resultsnon-degeneracyAlexandrov-Bol inequalitysingular Liouville-type equationssingular mean field equations
Semilinear elliptic equations (35J61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on manifolds (35R01)
Related Items
Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data, The \(\operatorname{SU}(3)\) Toda system with multiple singular sources, Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains, Existence results for Liouville equations and systems, Uniqueness of bubbling solutions of mean field equations, Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions, A singular sphere covering inequality: uniqueness and symmetry of solutions to singular Liouville-type equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An improved geometric inequality via vanishing moments, with applications to singular Liouville equations
- On multiplicity bounds for Schrödinger eigenvalues on Riemannian surfaces
- Asymptotic blow-up analysis for singular Liouville type equations with applications
- Elliptic functions, Green functions and the mean field equations on tori
- Zur isoperimetrischen Ungleichung auf gekrümmten Flächen
- An integral formula for total gradient variation
- Topological methods for an elliptic equation with exponential nonlinearities
- Mean field equations of Liouville type with singular data: sharper estimates
- Generic multiplicity for a scalar field equation on compact surfaces
- Prescribing Gaussian curvature on S 2
- Conformal deformations of metric on \({\mathcal S}\) 2
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- On multivortices in the electroweak theory. I: Existence of periodic solutions
- Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
- Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
- On a differential inequality and its applications to geometry
- Harnack type inequality: The method of moving planes
- Existence results for mean field equations
- Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
- Uniqueness of solutions to the mean field equations for the spherical Onsager vortex
- The sphere covering inequality and its applications
- Non-degeneracy, mean field equations and the Onsager theory of 2D turbulence
- Liouville type equations with singular data and their applications to periodic multivortices for the electroweak theory
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
- On the best pinching constant of conformal metrics on \(\mathbb S^2\) with one and two conical singularities
- Existence and uniqueness for mean field equations on multiply connected domains at the critical parameter
- Curvature functions for compact 2-manifolds
- Supercritical mean field equations on convex domains and the Onsager's statistical description of two-dimensional turbulence
- On a class of elliptic problems in R2: symmetry and uniqueness results
- Self-gravitating cosmic strings and the Alexandrov’s inequality for Liouville-type equations
- Uniqueness and symmetry results for solutions of a mean field equation on 𝕊2 via a new bubbling phenomenon
- Supercritical Conformal Metrics on Surfaces with Conical Singularities
- Uniqueness of solutions of mean field equations in 𝑅²
- Profile of Blow-up Solutions to Mean Field Equations with Singular Data
- Prescribing Curvature on Compact Surfaces with Conical Singularities
- Remark on an Application of Pseudoanalytic Functions
- EXISTENCE RESULT FOR THE MEAN FIELD PROBLEM ON RIEMANN SURFACES OF ALL GENUSES
- Uniqueness Results for Mean Field Equations with Singular Data
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- Liouville Equation and Spherical Convex Polytopes
- Statistical mechanics of classical particles with logarithmic interactions
- Topological degree for a mean field equation on Riemann surfaces
- Mean Field Equation of Liouville Type with Singular Data: Topological Degree
- Multiple condensate solutions for the Chern–Simons–Higgs theory
- ASYMPTOTIC BEHAVIOR OF BLOWUP SOLUTIONS FOR ELLIPTIC EQUATIONS WITH EXPONENTIAL NONLINEARITY AND SINGULAR DATA
- Blow‐up analysis, existence and qualitative properties of solutions for the two‐dimensional Emden–Fowler equation with singular potential