Open AccessBook
Perturbation theory of eigenvalue problems
Franz Rellich,B. J. Berkowitz +1 more
About:
The article was published on 1969-01-01 and is currently open access. It has received 600 citations till now. The article focuses on the topics: Inverse iteration & Eigenvalue perturbation.read more
Citations
More filters
Journal ArticleDOI
Caffarelli–Kohn–Nirenberg type equations of fourth order with the critical exponent and Rellich potential
TL;DR: In this article, the existence/nonexistence of positive solutions of Δ 2 u − μ u | x | 4 = | u | q β − 2 u| x | β in Ω, where Ω is a bounded domain and q β = 2 (N − β ) N − 4, 0 ≤ β 4 and 0 ≤ μ ( N ( N −4 ) 4 ) 2.
Journal ArticleDOI
The tangential variation of a localized flux-type eigenvalue problem
TL;DR: In this paper, the differentiability of the principal eigenvalue λ =λ 1(Γ) to the localized Steklov problem −Δu+qu=0 in Ω, ∂u∂ν=λχΓ(x)u on ∂Ω, where Γ is a smooth subdomain of ∂ Ω and χ is its characteristic function relative to ∂ ǫ, is shown.
Journal ArticleDOI
Isometric embeddability of Sqm into Spn
TL;DR: In this paper, the authors studied the existence of isometric embedding of S q m into S p n, where 1 ≤ p ≠ q ≤ ∞ and n ≥ m ≥ 2.
Posted Content
Roots of Garding hyperbolic polynomials.
TL;DR: In this paper, the authors explore the regularity of the roots of Garding hyperbolic polynomials and real stable polynomorphisms and obtain new regularity results of Sobolev type for the eigenvalues of Hermitian matrices.
Identifying families of multipartite states with non-trivial local entanglement transformations
TL;DR: In this article , it was shown that the 3-qutrit totally antisymmetric state is isolation-free and that all states in this class can be converted to inequivalent states by LOCC protocols with just one round of classical communication.