On the solvability for a p-k-Hessian inequality (2503.00895v1)

Published 2 Mar 2025 in math.AP

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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