Isoperimetric inequalities for some nonlinear eigenvalue problems
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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| Format: | Article |
| Language: | English |
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University of Szeged
2004-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=192 |
| Summary: | 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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| ISSN: | 1417-3875 1417-3875 |