This paper mainly considers the translating soliton of H k-flow for k】0.We give the asymptotic expression of the entire rotationally symmetric translating soliton,and obtain non-convex'Wing-like'solution as w...This paper mainly considers the translating soliton of H k-flow for k】0.We give the asymptotic expression of the entire rotationally symmetric translating soliton,and obtain non-convex'Wing-like'solution as well as two barrier solutions.Moreover,we show that the solution with polynomial growth keeps its growth rate when evolution.展开更多
We obtain the Harnack estimate of the solution to Hk-flow in Euclidean space Rn+1,for k ＞ 0.By using this estimate,we get some corollaries about the translation soliton.
基金supported by National Natural Science Foundation of China(Grant Nos.10771189 and 10831008)
文摘This paper mainly considers the translating soliton of H k-flow for k】0.We give the asymptotic expression of the entire rotationally symmetric translating soliton,and obtain non-convex'Wing-like'solution as well as two barrier solutions.Moreover,we show that the solution with polynomial growth keeps its growth rate when evolution.
文摘We obtain the Harnack estimate of the solution to Hk-flow in Euclidean space Rn+1,for k ＞ 0.By using this estimate,we get some corollaries about the translation soliton.
