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101.
Tilak Bhattacharya 《Annali di Matematica Pura ed Applicata》1999,177(1):225-240
Summary In this work we present an elementary proof of the Faber-Krahn inequality for the first eigenvalue of the p-Laplacian on bounded
domains in ℝn. Let λ1 be the first eigenvalue and λ
1
*
be the first eigenvalue for the ball of the same volume. Then we show that λ1=λ
1
*
iff the domain is a ball. Our proof makes considerable use of the corresponding Talenti's inequality and some well known
properties of the first eigenfunction.
Entrata in Redazione il 20 aprile 1998. 相似文献
102.
Summary Cosmic-ray air shower structure functions for the distance dependence of electron density in cosmic-ray air showers in the
size range 104⋎108 have been computed for their intercomparison and comparison with Monte Carlo simulation results and measurements from recent
experiments. The analysis has yielded the present status of theoretical structure functionsvis à vis experimental results and Monte Carlo simulation distributions. The effect of core location error on the lateral distribution
of electrons is also discussed from the point of view of different theoretical and experimental results. The energy flow in
the soft component of air showers of size ∼4·105 has been evaluated within a ring of radius 10m about the axis of the showers. 相似文献
103.
Mahuya ChakrabartiA. Sarkar S. ChattapadhayayD. Sanyal A.K. PradhanR. Bhattacharya D. Banerjee 《Solid State Communications》2003,128(8):321-324
The temperature dependent (30-300 K) Doppler broadening of the positron annihilated γ-radiation measurement has been investigated on single crystalline Bi2Sr2CaCu2O8+δ (Bi-2212) high Tc superconducting samples along two different crystallographic orientations. It has been observed that throughout the temperature range the electron momentum distribution has a larger value along the crystallographic c-axis than in the a-b plane. The temperature dependent Doppler broadened positron annihilation γ-radiation lineshape analysis shows a step like increase of S-parameter at the temperature region 92-116 K. 相似文献
104.
Nibedita Bhattacharya A. Roy Chowdhury 《International Journal of Theoretical Physics》1994,33(3):679-685
We have set up the algebraic Bethe ansatz equation for an open Heisenberg spin chain having an impurity of a different type of spin. The chain is considered to be open and hence the QISM approach as modified by Sklyanin is used to set up the equations for the Bethe ansatz. 相似文献
105.
Using the pseudopotential method, theoretical investigation has been made on the firstorder Korteweg-deVries ion-acoustic
solitons in a multicomponent plasma consisting of warm positive ions, negative ions and isothermal electrons. The effects
of electron-inertia and drift motion of the ions on the amplitudes and widths of the solitons have been studied in a plasma
having (H+, Cl−), (H+, O−), (He+, H−) and (He+, O−) ions. Ion-acoustic double-layers have also been investigated for such plasmas. It has been found that drift velocity and
electron-inertia have significant contribution on the formation of double-layers in multicomponent plasma 相似文献
106.
R. C. Barnà D. De Pasquale A. Italiano A. Trifirò M. Trimarchi C. Beck C. Bhattacharya F. Haas V. Rauch M. Rousseau O. Stezowsky A. Strazzeri 《Acta Physica Hungarica A》2002,16(1-4):281-289
The 132 MeV 16O + 58Ni reaction has been experimentally investigated by using coincident charged particle techniques. A closed-form theoretical approach, describing in a simple picture the non-equilibrium component and the evaporative one of the angular correlation between light particles and reaction residues emitted in a peripheral heavy-ion collision, is applied — in the hypotesis of a sequential process — to the (C,N,O)-α and (C,N,O)-p differential multiplicities for the 16O + 58Ni at 8.25 MeV/A deep inelastic collision. From this analysis some reaction mechanism information is deduced. 相似文献
107.
A spin-polarized vertical-cavity surface-emitting laser is demonstrated with electrical spin injection from an Fe/Al0.1Ga0.9As Schottky tunnel barrier. Laser operation with a spin-polarized current results in a maximum threshold current reduction of 11% and degree of circular polarization of 23% at 50 K. A cavity spin polarization of 16.8% is estimated from spin-dependent rate equation analysis of the observed threshold reduction. 相似文献
108.
109.
In this work, we completely characterize (1) permutation binomials of the form \(x^{{{2^n -1}\over {2^t-1}}+1}+ ax \in \mathbb {F}_{2^n}[x], n = 2^st, a \in \mathbb {F}_{2^{2t}}^{*}\), and (2) permutation trinomials of the form \(x^{2^s+1}+x^{2^{s-1}+1}+\alpha x \in \mathbb {F}_{2^t}[x]\), where s, t are positive integers. The first result, which was our primary motivation, is a consequence of the second result. The second result may be of independent interest. 相似文献
110.
Using a three- and four-dimensional Pauli–Villars regularization scheme, we investigate quark–antiquark and diquark condensation in the framework of the Nambu–Jona-Lasinio model. Using the particle Fermi momentum as a cutoff parameter, we study the energy gap width and coherence length for the meson condensate 〈\(q\bar q\)〉. We also study the energy gap width and critical coherence length (the distance over which there would be no diquark condensation) for the diquark 〈qq〉 and the dependence on the Fermi momentum. We obtain an estimate of the Fermi momentum value for meson and diquark condensates with an energy gap width of the order of 100 MeV. 相似文献