Shape Differentiability of the Eigenvalues of Elliptic Systems

D. Buoso ()
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D. Buoso: Politecnico di Torino

Chapter Chapter 8 in Integral Methods in Science and Engineering, 2015, pp 91-97 from Springer

Abstract: Abstract Let Ω be a bounded open set in ℝ N $$\mathbb{R}^{N}$$ of class C 1, m ∈ ℕ $$m \in \mathbb{N}$$ . 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.

Keywords: Shape Differentiability; Legendre-Hadamard Condition; Volume Constraint; Suitable Diffeomorphism; Polyharmonic Operator (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-16727-5_8

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