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

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.

Full text (pdf)

  • 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

Download this article's citation as:
a .bib file (BibTeX),
a .ris file (RefMan),
a .enw file (EndNote)
or export to RefWorks.

In accordance with EU legislation we advise you this website uses cookies to allow us to see how the site is used. All data is anonymized.
All recent versions of popular browsers give users a level of control over cookies. Users can set their browsers to accept or reject all, or certain, cookies.