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

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
  • Received: 2010-05-11.
  • Revised: 2010-06-24.
  • Accepted: 2010-07-14.
Opuscula Mathematica - cover

Cite this article as:
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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