HARDY INEQUALITIES UNDER SOME NON-CONVEXITY MEASURES

Waleed Abuelela

doi:10.11650/tjm.17.2013.2023

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Home > Journals > Taiwanese J. Math. > Volume 17 > Issue 1 > Article

2013 HARDY INEQUALITIES UNDER SOME NON-CONVEXITY MEASURES

Waleed Abuelela

Taiwanese J. Math. 17(1): 299-313 (2013). DOI: 10.11650/tjm.17.2013.2023

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Abstract

Considering two different non-convexity measures, we obtain some new Hardy-type inequalities for non-convex domains $\Omega \subset \mathbb{R}^n$. We study the three-dimensional case and then generalise the approach to the $n-$dimensional case.

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Waleed Abuelela. "HARDY INEQUALITIES UNDER SOME NON-CONVEXITY MEASURES." Taiwanese J. Math. 17 (1) 299 - 313, 2013. https://doi.org/10.11650/tjm.17.2013.2023