Opuscula Mathematica
Opuscula Math. 31, no. 2 (2011), 173-194

The Hardy potential and eigenvalue problems

Jan Chabrowski
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.
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Jan Chabrowski
University of Queensland, Department of Mathematics, St. Lucia 4072, Qld, Australia
About the article ▼
Received: 2010-05-11.
Revised: 2010-06-24.
Accepted: 2010-07-14.
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Jan Chabrowski, The Hardy potential and eigenvalue problems, Opuscula Math. 31, no. 2 (2011), 173-194, http://dx.doi.org/10.7494/OpMath.2011.31.2.173.
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