On the solvability for a p-k-Hessian inequality
Analysis of PDEs
2025-03-04 v1
Abstract
In this paper, we discuss the solvability of a p-k-Hessian entire inequality. We prove that the inequality with sub-lower-critical exponent admits no negative solutions. Moreover, the exponent is sharp. The proof is based on choosing suitable test functions and integrating by parts.
Keywords
Cite
@article{arxiv.2503.00895,
title = {On the solvability for a p-k-Hessian inequality},
author = {Zhenghuan Gao and Shujun Shi and Yuzhou Zhang},
journal= {arXiv preprint arXiv:2503.00895},
year = {2025}
}