Electron. J. Diff. Eqns., Vol. 2004(2004), No. 12, pp. 1-9.

On the second eigenvalue of a Hardy-Sobolev operator

K. Sreenadh

In this note, we study the variational characterization and some properties of the second smallest eigenvalue of the Hardy-Sobolev operator
with respect to an indefinite weight $V(x)$.

Submitted August 12, 2003. Published Janaury 22, 2004.
Math Subject Classifications: 35J20, 35J70, 35P05, 35P30.
Key Words: p-Laplacian, Hardy-Sobolev operator, unbounded domain.

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Konijeti Sreenadh
T.I.F.R. Centre, Post Box No.1234
Bangalore-560012, India
email: srinadh@math.tifrbng.res.in

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