Geodesic
A Generalization of an Inequality of Bhattacharya and Leonetti
Canadian mathematical bulletin, Tome 39 (1996) no. 4, pp. 438-447

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DOI

We show that bounded John domains and bounded starshaped domains with respect to a point satisfy the following inequality where F: [0, ∞) → [0, ∞) is a continuous, convex function with F(0) = 0, and u is a function from an appropriate Sobolev class. Constants b and K do depend at most on D. If F(x) = xp , 1 ≤ p < ∞, this inequality reduces to the ordinary Poincaré inequality.
DOI : 10.4153/CMB-1996-052-x
Mots-clés : 46E35, 26D10, Poincaré-type inequalities, John domains, starshaped domains 
Hurri-Syrjänen, Ritva. A Generalization of an Inequality of Bhattacharya and Leonetti. Canadian mathematical bulletin, Tome 39 (1996) no. 4, pp. 438-447. doi: 10.4153/CMB-1996-052-x
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     title = {A {Generalization} of an {Inequality} of {Bhattacharya} and {Leonetti}},
     journal = {Canadian mathematical bulletin},
     pages = {438--447},
     year = {1996},
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     doi = {10.4153/CMB-1996-052-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-052-x/}
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