Isoperimetric inequalities for some nonlinear eigenvalue problems

G. Bognár, University of Miskolc, Miskolc-Egyetemváros, Hungary

E. J. Qualitative Theory of Diff. Equ., Proc. 7'th Coll. Qualitative Theory of Diff. Equ., No. 4. (2004), pp. 1-12.

Communicated by L. Hatvani. Received on 2003-09-30
Appeared on 2004-08-31

Abstract: In this paper we intend to review many of the known inequalities for eigenvalues of the Laplacian in Euclidean plane. Our aim is to show that we can generalize some results for the pseudo-Laplacian. We focus on isoperimetric inequalities for the first eigenvalue of the Dirichlet eigenvalue problem.

You can download the full text of this paper in DVI, PostScript or PDF format.