Abstract
We prove symmetry, and some related properties, of positive solutions of second order elliptic equations. Our methods employ various forms of the maximum principle, and a device of moving parallel planes to a critical position, and then showing that the solution is symmetric about the limiting plane. We treat solutions in bounded domains and in the entire space.
Original language | English (US) |
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Pages (from-to) | 209-243 |
Number of pages | 35 |
Journal | Communications in Mathematical Physics |
Volume | 68 |
Issue number | 3 |
DOIs | |
State | Published - Oct 1979 |