On the solvability for a p-k-Hessian inequality

Zhenghuan Gao; Shujun Shi; Yuzhou Zhang

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arXiv · 2503.00895

On the solvability for a p-k-Hessian inequality

Zhenghuan Gao·Shujun Shi·Yuzhou Zhang

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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.

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Zhenghuan Gao, Shujun Shi, Yuzhou Zhang. 2025-03-02. On the solvability for a p-k-Hessian inequality. https://arxiv.org/abs/2503.00895

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