Extremals for a weighted Morrey's inequality and a weighted $ p $-Laplace equation
We establish a weighted Morrey's inequality. Furthermore, the existence of extremals for this weighted Morrey's inequality is studied. As an application, we prove that extremals are the weak solutions of a related weighted $ p $-Laplace equation.
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025183 |
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