299 citations
- Czech Technical University in PragueCZ7 papers
- Institute of Physics, BhubaneshwarIN7 papers
- Laboratoire de Physique Subatomique et des Technologies AssociéesFR7 papers
- National Institute for Subatomic PhysicsNL7 papers
- Panjab UniversityIN7 papers
- Texas A&M UniversityUS7 papers
- University of JammuIN7 papers
- University of RajasthanIN7 papers
- Utrecht UniversityNL7 papers
- Variable Energy Cyclotron CentreIN7 papers
- Argonne National LaboratoryUS6 papers
- Brookhaven National LaboratoryUS6 papers
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math.SP2007★ 1 cited
A sharp upper bound for the first Dirichlet eigenvalue and the growth of the isoperimetric constant of convex domains
Pedro Freitas, David Krejcirik
We show that as the ratio between the first Dirichlet eigenvalues of a convex domain and of the ball with the same volume becomes large, the same must happen to the corresponding r…
math.SP2007
Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients
D. Borisov
We consider singularly perturbed second order elliptic system in the whole space with fast oscillating coefficients. We construct the complete asymptotic expansions for the eigenva…
math.SP2003★ 17 cited
Absolute continuity in periodic thin tubes and strongly coupled leaky wires
Francois Bentosela, Pierre Duclos, Pavel Exner
Using a perturbative argument, we show that in any finite region containing the lowest transverse eigenmode, the spectrum of a periodically curved smooth Dirichlet tube in two or t…