On nonnegative solutions of the differential inequality $Δ_pu+ Δ_q u+V(x)u^s\leq 0$ on Riemannian manifolds
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911623278493696 |
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| author | Zhao, Biqiang |
| author_facet | Zhao, Biqiang |
| contents | In this paper, we are concerned with differential inequalities with $(p,q)$-Laplacian operator on Riemannian manifolds. Using a test function argument, we establish Liouville-type theorems under the manifold's geometry and the potential's behavior at infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23624 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On nonnegative solutions of the differential inequality $Δ_pu+ Δ_q u+V(x)u^s\leq 0$ on Riemannian manifolds Zhao, Biqiang Analysis of PDEs Differential Geometry In this paper, we are concerned with differential inequalities with $(p,q)$-Laplacian operator on Riemannian manifolds. Using a test function argument, we establish Liouville-type theorems under the manifold's geometry and the potential's behavior at infinity. |
| title | On nonnegative solutions of the differential inequality $Δ_pu+ Δ_q u+V(x)u^s\leq 0$ on Riemannian manifolds |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2604.23624 |