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.

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.

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