Kaushik Bal
Abstract:
In this note we address the question of uniqueness of the Brezis-Oswald
problem for the p-Laplacian operator in Heisenberg Group. The non-availability
of
regularity for all
is the problem to extend
the proof of Diaz-Saa [10] in the Heisenberg Group case. We overcome
the problem by proving directly a generalized version of Diaz-Saa inequality
in the Heisenberg Group.
Submitted January 18, 20016. Published June 6, 2016.
Math Subject Classifications: 35R03, 35J92, 35J70.
Key Words: Quasilinear elliptic equation; Picone's identity; Heisenberg group.
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Kaushik Bal Department of Mathematics and Statistics Indian Institute of Technology Kanpur, Uttar Pradesh-280016 India email: kaushik@iitk.ac.in |
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