In this note,we obtain some a-priori estimates for gradient of weak solutions to a class of subelliptic quasilinear equations constructed by Ho¨rmander’s vector fields,and then prove local uniqueness of weak sol...In this note,we obtain some a-priori estimates for gradient of weak solutions to a class of subelliptic quasilinear equations constructed by Ho¨rmander’s vector fields,and then prove local uniqueness of weak solutions.A key ingredient is the estimated about kernel on metirc ＂annulus＂.展开更多
基金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)the Keji Chuangxin Jijin of Northwestern Polytechnical University (Grant No. 2008KJ02033)
文摘In this note,we obtain some a-priori estimates for gradient of weak solutions to a class of subelliptic quasilinear equations constructed by Ho¨rmander’s vector fields,and then prove local uniqueness of weak solutions.A key ingredient is the estimated about kernel on metirc ＂annulus＂.
