On nonnegative solutions of the parabolic differential inequality with $(p,q)$-Laplace on Riemannian manifolds

Biqiang Zhao

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arXiv · 2604.25723

On nonnegative solutions of the parabolic differential inequality with $(p,q)$-Laplace on Riemannian manifolds

Biqiang Zhao

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Abstract

In this paper, we establish Liouville-type theorems for parabolic differential inequalities with $(p,q)-$Laplacian operator on Riemannian manifolds. By a test function argument, we establish nonexistence results under suitable weighted volume growth assumptions involving potential. In particular, we can obtain nonexistence results for a wider class of parabolic inequalities.

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Biqiang Zhao. 2026-04-28. On nonnegative solutions of the parabolic differential inequality with $(p,q)$-Laplace on Riemannian manifolds. https://arxiv.org/abs/2604.25723

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