%0 Journal Article %T The Hardy potential and eigenvalue problems %A Jan Chabrowski %J Opuscula Mathematica %D 2011 %I AGH University of Science and Technology %X We establish the existence of principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We consider the Dirichlet and Neumann boundary conditions. %K Dirichlet and Neumann problems %K Hardy potential %K principal eigenfuctions %U http://www.opuscula.agh.edu.pl/vol31/2/art/opuscula_math_3113.pdf