论文标题
普通黑森州不平等的整个解决方案
Entire solutions of the generalized Hessian inequality
论文作者
论文摘要
在本文中,我们讨论了更普遍的HESSIAN不平等$σ_{k}^{\ frac {1} {k}}}}(λ(λ(d_i)(d_i(a \ left(| du | \ right)d_j u)))在全球溶解度上有足够的条件,可以将其视为广义的凯勒 - 塞尔曼条件。
In this paper, we discuss the more general Hessian inequality $σ_{k}^{\frac{1}{k}}(λ(D_i (A\left(|Du|\right) D_j u)))\geq f(u)$ including the Laplacian, p-Laplacian, mean curvature, Hessian, k-mean curvature operators, and provide a necessary and sufficient condition on the global solvability, which can be regarded as generalized Keller-Osserman conditions.