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arXiv · 2205.08415

Entire solutions of the generalized Hessian inequality

Xiang Li·Jing Hao·Jiguang Bao
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Abstract

In this paper, we discuss the more general Hessian inequality $\sigma_{k}^{\frac{1}{k}}(\lambda (D_i (A\left(|Du|\right) D_j u)))\geq f(u)$ 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.

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Xiang Li, Jing Hao, Jiguang Bao. 2022-05-17. Entire solutions of the generalized Hessian inequality. https://arxiv.org/abs/2205.08415

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