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MSRI Summer Microprogram on Nonlinear Partial Differential Equations |
| July 23, 2007 to August 10, 2007 |
| Organized By: L. C. Evans (UC Berkeley, Chair), C. Gutierrez (Temple), C. Sogge (Johns Hopkins), D. Tataru (UC Berkeley) |
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| Return to Workshop Description |
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Asymptotic behaviour of infinity harmonic functions near isolated singularities.
Wednesday July 25, 2007
02:00PM - 02:50PM
Speakers:
Yifeng Yu
Abstract:
In this talk, I will show that when the dimension is greater than 1, an infinity harmonic function behaves like a cone near its isolated singularities. Especially, this implies that an infinity harmonic function attains local maximum or local minimum value at isolated singularities.
This is a joint work with O. Savin and C. Wang.
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