Hardy inequalities for p-Laplacians with Robin boundary conditions
2015 (English)In: Nonlinear Analysis, ISSN 0362-546X, E-ISSN 1873-5215, Vol. 128, 365-379 p.Article in journal (Refereed) Published
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.
p-Laplacian, Robin boundary conditions, Hardy inequality
Algebra and Logic
IdentifiersURN: urn:nbn:se:kth:diva-175480DOI: 10.1016/j.na.2015.08.013ISI: 000361827300020ScopusID: 2-s2.0-84941284129OAI: oai:DiVA.org:kth-175480DiVA: diva2:865408
FunderSwedish Research Council, 2009-6073
QC 201510282015-10-282015-10-162015-11-19Bibliographically approved