Uniqueness Results for Mean Field Equations with Singular Data
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Publication:3643210
DOI10.1080/03605300902910089zbMath1185.35288OpenAlexW2064964063MaRDI QIDQ3643210
Daniele Bartolucci, Chang-Shou Lin
Publication date: 10 November 2009
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605300902910089
Nonlinear elliptic equations (35J60) PDEs with low regular coefficients and/or low regular data (35R05) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Einstein equations (35Q76)
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Cites Work
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- Zur isoperimetrischen Ungleichung auf gekrümmten Flächen
- Self-dual gauge field vortices. An analytical approach
- Topological methods for an elliptic equation with exponential nonlinearities
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- On steady distributions of self-attracting clusters under friction and fluctuations
- 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
- Uniqueness of conformal metrics with prescribed total curvature in \(\mathbb{R}^2\)
- Uniqueness of solutions to the mean field equations for the spherical Onsager vortex
- Topological degree for mean field equations on \(S^2\)
- On the existence of blowing-up solutions for a mean field equation
- 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
- Singular limits in Liouville-type equations
- An expository survey on the recent development of mean field equations
- Profile of Blow-up Solutions to Mean Field Equations with Singular Data
- Prescribing Curvature on Compact Surfaces with Conical Singularities
- Remarks on courant's nodal line theorem
- Remark on an Application of Pseudoanalytic Functions
- On the shape of blow-up solutions to a mean field equation
- EXISTENCE RESULT FOR THE MEAN FIELD PROBLEM ON RIEMANN SURFACES OF ALL GENUSES
- 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
- Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces