On the symmetry of blowup solutions to a mean field equation

DOI10.1016/S0294-1449(00)00060-3zbMath0995.35004MaRDI QIDQ5942601

Chuin Chuan Chen, Chang-Shou Lin

Publication date: 9 September 2001

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2001__18_3_271_0

zbMATH Keywords

symmetriesmoving planeblow-up solutionsmean field equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Geometric theory, characteristics, transformations in context of PDEs (35A30) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (14)

Profile of Blow-up Solutions to Mean Field Equations with Singular Data ⋮ Some Results for the Gelfand's Problem ⋮ Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces ⋮ ASYMPTOTIC BEHAVIOR OF BLOWUP SOLUTIONS FOR ELLIPTIC EQUATIONS WITH EXPONENTIAL NONLINEARITY AND SINGULAR DATA ⋮ Morse Indices of Multiple Blow-Up Solutions to the Two-Dimensional Gel'fand Problem ⋮ Unnamed Item ⋮ On the location of two blowup points on an annulus for the mean field equation ⋮ On the existence of blowing-up solutions for a mean field equation ⋮ On the spectrum of a nonlinear planar problem ⋮ Uniqueness and symmetry results for solutions of a mean field equation on 𝕊2 via a new bubbling phenomenon ⋮ On Some Elliptic Problems in the Study of Selfdual Chern-Simons Vortices ⋮ Existence of solutions for some weighted mean field equations in dimension \(N\) ⋮ Supercritical mean field equations on convex domains and the Onsager's statistical description of two-dimensional turbulence ⋮ A dynamical system for a nonlocal parabolic equation with exponential nonlinearity

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