Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 12, pp. 1-9.
Title: On the second eigenvalue of a Hardy-Sobolev operator
Author: K. Sreenadh (T.I.F.R., Bangalore, India)
Abstract:
In this note, we study the variational characterization and
some properties of the second smallest eigenvalue of the
Hardy-Sobolev operator
$L_{\mu}:=-\Delta_{p}-\frac{\mu}{|x|^p}$
with respect to an indefinite weight $V(x)$.
Submitted August 12, 2003. Published January 22, 2004.
Math Subject Classifications: 35J20, 35J70, 35P05, 35P30.
Key Words: p-Laplacian; Hardy-Sobolev operator; unbounded domain.