Non-linear eigenvalue problems for <Emphasis Type="Italic">p</Emphasis>-Laplacian with variable domain |
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Authors: | Yusif S Gasimov Abdeljalil Nachaoui Agaddin A Niftiyev |
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Institution: | (1) Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland; |
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Abstract: | In this work we consider some eigenvalue problems for p-Laplacian with variable domain. Eigenvalues of this operator are taken as a functional of the domain. We calculate the first
variation of this functional, using the obtained formula investigate behavior of the eigenvalues when the domain varies. Then
we consider one shape optimization problem for the first eigenvalue, prove the necessary condition of optimality relatively
domain, offer an algorithm for the numerical solution of this problem. |
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Keywords: | |
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