On nonnegative solutions of the parabolic differential inequality with $(p,q)$-Laplace on Riemannian manifolds
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913069423132672 |
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| author | Zhao, Biqiang |
| author_facet | Zhao, Biqiang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25723 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On nonnegative solutions of the parabolic differential inequality with $(p,q)$-Laplace on Riemannian manifolds Zhao, Biqiang Analysis of PDEs Differential Geometry 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. |
| title | On nonnegative solutions of the parabolic differential inequality with $(p,q)$-Laplace on Riemannian manifolds |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2604.25723 |