| Local Uniqueness of Weak Solutions for a Class of Quasilinear Subelliptic Equations |
| Received:March 16, 2009 Revised:October 03, 2010 |
| Key Words:
H\"{o}rmander's vector fields subelliptic weak solution uniqueness.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10871157), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No.200806990032) and the Keji Chuangxin Jijin of Northwestern Polytechnical Univ |
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| Abstract: |
| In this note, we obtain some $a$-priori estimates for gradient of weak solutions to a class of subelliptic quasilinear equations constructed by H\"{o}rmander's vector fields, and then prove local uniqueness of weak solutions. A key ingredient is the estimated about kernel on metirc ``annulus". |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.02.013 |
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