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Hardy inequalities for p-Laplacians with Robin boundary conditions
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2015 (English)In: Nonlinear Analysis, ISSN 0362-546X, E-ISSN 1873-5215, Vol. 128, 365-379 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we study the best constant in a Hardy inequality for the p-Laplace operator on convex domains with Robin boundary conditions. We show, in particular, that the best constant equals ((p-1)/p)(p) whenever Dirichlet boundary conditions are imposed on a subset of the boundary of non-zero measure. We also discuss some generalizations to non-convex domains.

Place, publisher, year, edition, pages
2015. Vol. 128, 365-379 p.
Keyword [en]
p-Laplacian, Robin boundary conditions, Hardy inequality
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:kth:diva-175480DOI: 10.1016/j.na.2015.08.013ISI: 000361827300020Scopus ID: 2-s2.0-84941284129OAI: oai:DiVA.org:kth-175480DiVA: diva2:865408
Funder
Swedish Research Council, 2009-6073
Note

QC 20151028

Available from: 2015-10-28 Created: 2015-10-16 Last updated: 2017-12-01Bibliographically approved

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