Geodesic
Poincaré Inequalities and Neumann Problems for the p-Laplacian
Canadian mathematical bulletin, Tome 61 (2018) no. 4, pp. 738-753

Voir la notice de l'article provenant de la source Cambridge University Press

We prove an equivalence between weighted Poincaré inequalities and the existence of weak solutions to a Neumann problem related to a degenerate $p$ -Laplacian. The Poincaré inequalities are formulated in the context of degenerate Sobolev spaces defined in terms of a quadratic form, and the associated matrix is the source of the degeneracy in the $p$ -Laplacian.
DOI : 10.4153/CMB-2018-001-6
Mots-clés : 30C65, 35B65, 35J70, 42B35, 42B37, 46E35, degenerate Sobolev space, p-Laplacian, Poincaré inequalities 
Cruz-Uribe, David; Rodney, Scott; Rosta, Emily. Poincaré Inequalities and Neumann Problems for the p-Laplacian. Canadian mathematical bulletin, Tome 61 (2018) no. 4, pp. 738-753. doi: 10.4153/CMB-2018-001-6
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     pages = {738--753},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-001-6/}
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