WorkshopsThe geometry of critical points of Green functions on a torus
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The location of blowup points of a sequence of solutions to semilinear equations (say, mean field equation) usually satisfies some equation related to Green functions. Indeed, the equation could be viewed as an equation for critical points of Green function in a product space of original underlying space (say a torus). In this lecture, we will discuss the nature (minimum points, saddle points, degeneracy or non-degeneracy etc.) of critical points and its relation to the mean field equations.
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Chang-Shou Lin
2013-10-25
11:30:00 - 12:20:00
,
The location of blowup points of a sequence of solutions to semilinear equations (say, mean field equation) usually satisfies some equation related to Green functions. Indeed, the equation could be viewed as an equation for critical points of Green function in a product space of original underlying space (say a torus). In this lecture, we will discuss the nature (minimum points, saddle points, degeneracy or non-degeneracy etc.) of critical points and its relation to the mean field equations.