Weighted Hardy-Adams inequality on unit ball of any even dimension
In this study, we obtain the weighted Hardy-Adams inequality of any even dimension n≥4n\ge 4. Namely, for u∈C0∞(Bn)u\in {C}_{0}^{\infty }\left({{\mathbb{B}}}^{n}) with ∫Bn∣∇n2u∣2dx−∏k=1n⁄2(2k−1)2∫Bnu2(1−∣x∣2)ndx≤1,\mathop{\int }\limits_{{{\mathbb{B}}}^{n}}{| {\nabla }^{\frac{n}{2}}u| }^{2}{\rm{d}}x-...
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| Main Author: | |
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| Format: | Artigo |
| Language: | Inglês |
| Published: |
De Gruyter
2024-11-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2024-0052 |
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