Opuscula Math. 31, no. 2 (2011), 173-194
http://dx.doi.org/10.7494/OpMath.2011.31.2.173
Opuscula Mathematica
The Hardy potential and eigenvalue problems
Abstract. We establish the existence of principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We consider the Dirichlet and Neumann boundary conditions.
Keywords: Dirichlet and Neumann problems, Hardy potential, principal eigenfuctions.
Mathematics Subject Classification: 35J20, 35R50, 35P99.
- Jan Chabrowski
- University of Queensland, Department of Mathematics, St. Lucia 4072, Qld, Australia
- Received: 2010-05-11.
- Revised: 2010-06-24.
- Accepted: 2010-07-14.
