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<p>In this paper, we discuss the solvability of a <i>p</i>-<i>k</i>-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.</p>

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On the solvability for a p-k-Hessian inequality

  • 期刊论文

  • 发表日期：

    2025年10月9日

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  • Zhenghuan Gao,
  • Shujun Shi,
  • Yuzhou Zhang

摘要

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.