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Sturmian comparison and oscillation theorems for quasilinear elliptic equations with mixed nonlinearities via Picone-type inequality [PDF]

, 2010
A Picone-type inequality is established for quasilinear elliptic operators with mixed nonlinearities, and Sturmian comparison and oscillation theorems for quasilinear elliptic equations are derived by using the Picone-type ...
Yoshida Norio
core   +1 more source

Self-consistent Continuum Random Phase Approximation calculations with finite-range interactions

, 2011
We present a technique which allows us to solve the Random Phase Approximation equations with finite-range interactions and treats the continuum part of the excitation spectrum without approximations. The interaction used in the Hartree-Fock calculations
Anguiano, M., Co', G., De Donno, V., Lallena, A. M.   +3 more
core   +1 more source

Local Complexity of Delone Sets and Crystallinity

, 2001
This paper characterizes when a Delone set X is an ideal crystal in terms of restrictions on the number of its local patches of a given size or on the hetereogeneity of their distribution.
Alessandri, Berthé, Berthé, Coven, Delone, Dolbilin, Engel, Ferenczi, Gruber, Grünbaum, Jeffrey C. Lagarias, Lagarias, Lagarias, Lagarias, Lothaire, Morse, Morse, Peter A. B. Pleasants, Radin, Radin, Ryshkov, Sander, Sander, Sander, Senechal, Series, Solomyak, Zong   +27 more
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The quantum-mechanical Coulomb propagator in an L² function representation. [PDF]

Sci Rep, 2021
Gersbacher R, Broad JT.
europepmc   +1 more source

Relativistic calculations of the charge-transfer probabilities and cross sections for low-energy collisions of H-like ions with bare nuclei

, 2010
A new method for solving the time-dependent two-center Dirac equation is developed. The time-dependent Dirac wave function is represented as a sum of atomic-like Dirac-Sturm orbitals, localized at the ions.
Deyneka, G. B., Hagmann, S., Kozhedub, Y. S., Kozhuharov, C., Plunien, G., Shabaev, V. M., Stöhlker, Th., Tupitsyn, I. I.   +7 more
core   +1 more source

Anisotropic Picone identities and anisotropic Hardy inequalities. [PDF]

J Inequal Appl, 2017
Feng T, Cui X.
europepmc   +1 more source

Conjugate points on a limiting extremal. [PDF]

Proc Natl Acad Sci U S A, 1976
Morse M.
europepmc   +1 more source

Sturmian comparison and oscillation theorems for quasilinear elliptic equations with mixed nonlinearities via Picone-type inequality

Sturmian comparison and oscillation theorems for quasilinear elliptic equations with mixed nonlinearities via Picone-type inequality
application/pdf A Picone-type inequality is established for quasilinear elliptic operators with mixed nonlinearities, and Sturmian comparison and oscillation theorems for quasilinear elliptic equations are derived by using the Picone-type inequality.
openaire  

A comparison theorem for Sturmian oscillation numbers of linear systems of second order

Duke Mathematical Journal, 1958
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Sturmian comparison theorems for completely controllable linear Hamiltonian systems in singular case

Journal of Mathematical Analysis and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter Šepitka, Roman Šimon Hilscher
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