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| COMPARISON, SYMMETRY AND MONOTONICITY RESULTS FOR SOME DEGENERATE ELLIPTIC OPERATORS IN CARNOT-CARATHEODORY SPACES |
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Citation： |
GE Yuxin,YE Dong,ZHOU Feng.COMPARISON, SYMMETRY AND MONOTONICITY RESULTS FOR SOME DEGENERATE ELLIPTIC OPERATORS IN CARNOT-CARATHEODORY SPACES[J].Chinese Annals of Mathematics B,2002,23(3):361~372 |
| Page view： 1171
Net amount： 1013 |
Authors： |
GE Yuxin; YE Dong;ZHOU Feng |
Foundation： |
Project supported by the National Natural Science Foundation of China (No. 10071023). The third author is also supported in part by MOST and Foundation for University Key Teacher by MEC and Shanghai Priority Academic Discipline. |
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| Abstract： |
This paper studies the properties of solutions of quasilinear equations involving the p-laplacian type operator in general Carnot-Caratheodory spaces. The authors show some comparison results for solutions of the relevant differential inequalities and use them to get some symmetry and monotonicity properties of solutions, in bounded or unbounded domains. |
Keywords： |
Carnot-Caratheodory space, Symmetry, Monotonicity, Degenerate elliptic operator |
Classification： |
35J60, 35J70 |
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