Imperial College London
Professor Ari Laptev

ProfessorAriLaptev

Faculty of Natural Sciences, Department of Mathematics

Chair in Pure Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8499a.laptev Website

 
 
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Assistant

 

Mr David Whittaker +44 (0)20 7594 8481

 
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Location

 

680Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Ekholm:2015:10.1016/j.na.2015.08.013,
author = {Ekholm, T and Kovarik, H and Laptev, A},
doi = {10.1016/j.na.2015.08.013},
journal = {Nonlinear Analysis-Theory Methods & Applications},
pages = {365--379},
title = {Hardy inequalities for p-Laplacians with Robin boundary conditions},
url = {http://dx.doi.org/10.1016/j.na.2015.08.013},
volume = {128},
year = {2015}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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.
AU  - Ekholm,T
AU  - Kovarik,H
AU  - Laptev,A
DO  - 10.1016/j.na.2015.08.013
EP  - 379
PY  - 2015///
SN  - 0362-546X
SP  - 365
TI  - Hardy inequalities for p-Laplacians with Robin boundary conditions
T2  - Nonlinear Analysis-Theory Methods & Applications
UR  - http://dx.doi.org/10.1016/j.na.2015.08.013
UR  - http://hdl.handle.net/10044/1/31207
VL  - 128
ER  -
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