Abstract
Let Ω be a bounded open set in \(\mathbb{R}^{N}\) of class C 1, \(m \in \mathbb{N}\). By H 1(Ω) we denote the Sobolev space Sobolev!space of functions in L 2(Ω) with derivatives in L 2(Ω), and by H 0 1(Ω) we denote the closure in H 1(Ω) of the space of C ∞-functions with compact support in Ω.
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Acknowledgements
The author wishes to thank Prof. Pier Domenico Lamberti for his useful comments and remarks. The author acknowledges financial support from the research project ‘Singular perturbation problems for differential operators’ Progetto di Ateneo of the University of Padova. The author is a member of the Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM).
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Buoso, D. (2015). Shape Differentiability of the Eigenvalues of Elliptic Systems. In: Constanda, C., Kirsch, A. (eds) Integral Methods in Science and Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-16727-5_8
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DOI: https://doi.org/10.1007/978-3-319-16727-5_8
Publisher Name: Birkhäuser, Cham
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Online ISBN: 978-3-319-16727-5
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