JournalszaaVol. 29, No. 4pp. 469–485

A Quasilinear Eigenvalue Problem with Robin Conditions on the Non-Smooth Domain of Finite Measure

  • Pavel Drábek

    University of West Bohemia, Plzen, Czech Republic
  • S. H. Rasouli

    Babol University of Technology, Iran
A Quasilinear Eigenvalue Problem with Robin Conditions on the Non-Smooth Domain of Finite Measure cover
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Abstract

In this paper, we consider a nonlinear eigenvalue problem involving the p-Laplacian with Robin boundary conditions on a domain of finite measure. We show the existence, simplicity and isolation of principal eigenvalue and regularity results for the corresponding eigenfunction. Furthermore we establish the link between the Dirichlet and Neumann problems by means of the Robin boundary conditions with variable parameter.

Cite this article

Pavel Drábek, S. H. Rasouli, A Quasilinear Eigenvalue Problem with Robin Conditions on the Non-Smooth Domain of Finite Measure. Z. Anal. Anwend. 29 (2010), no. 4, pp. 469–485

DOI 10.4171/ZAA/1419