| 1 | Local solvability of the k-Hessian equations显示文摘We give a classification of second-order polynomial solutions for the homogeneous k-Hessian equation σ_k[u] = 0. There are only two classes of polynomial solutions: One is convex polynomial; another one must not be(k + 1)-convex, and in the second case, the k-Hessian equations are uniformly elliptic with respect to that solution. Based on this classification, we obtain the existence of C∞local solution for nonhomogeneous term f without sign assumptions. | TIAN GuJi WANG Qi XU Chao-Jiang | 2016 | Science China Mathematics2016，59，9： | 3 |
您所在的机构暂未开通此部分的功能，请联系管理员