scholarly journals Max-Min characterization of the mountain pass energy level for a class of variational problems

2010 ◽  
Vol 138 (09) ◽  
pp. 3335-3335 ◽  
Author(s):  
Jacopo Bellazzini ◽  
Nicola Visciglia
Keyword(s):  
Energy Level ◽  
Variational Problems ◽  
Mountain Pass ◽  
Pass Energy

Chemical‐petrographic and isotopic characterization of the volcanic pavement along the ancient Appia route at the Aurunci Mountain Pass, Italy: Insights on possible provenance

2019 ◽  
Vol 34 (5) ◽  
pp. 522-539
Author(s):  
Emiliano Di Luzio ◽  
Ilenia Arienzo ◽  
Simona Boccuti ◽  
Anna De Meo ◽  
Gianluca Sottili
Keyword(s):  
Mountain Pass ◽  
Isotopic Characterization

PREPARATION AND CHARACTERIZATION OF Zr-DOPED TiN NANOFILM

2007 ◽  
Vol 21 (18n19) ◽  
pp. 3455-3458
Author(s):  
ANPING LIU ◽  
YINFENG WANG ◽  
XUEHENG YANG
Keyword(s):  
Thin Film ◽  
Corrosion Resistance ◽  
Energy Level ◽  
Mixed Crystal ◽  
Energy Levels ◽  
Energy Band Structure ◽  
Reactive Magnetron ◽  
Tin Coating ◽  
New Energy

The Zr -doped TiN coating, a nanometer (Ti, Zr)N thin film, has been deposited by reactive magnetron sputtering on slides and Al substrates. The crystalline phase and energy band structure have been analyzed by XRD and STS. The results of XRD show that the (Ti, Zr)N film is poly crystalline and consisted of mixed crystal of TiN and ZrN phase. The STS spectra show that Zr -doping didn't change the position and band-gap of energy level, only two new energy levels appeared, Eg = 0.33eV and Eg = 0.42eV. According to the results of measurement, (Ti, Zr)N has higher hardness and better corrosion resistance than TiN by Zr -doping.

Characterization of NOx-Ox relationships during daytime interchange of air masses over a mountain pass in the Mexico City megalopolis

2018 ◽  
Vol 177 ◽  
pp. 100-110 ◽  
Author(s):  
J.S. García-Yee ◽  
R. Torres-Jardón ◽  
H. Barrera-Huertas ◽  
T. Castro ◽  
O. Peralta ◽  
...  
Keyword(s):  
Mexico City ◽  
Mountain Pass ◽  
Air Masses

scholarly journals Low volume-fraction microstructures in martensites and crystal plasticity

2016 ◽  
Vol 26 (07) ◽  
pp. 1319-1355 ◽  
Author(s):  
Sergio Conti ◽  
Barbara Zwicknagl
Keyword(s):  
Small Volume ◽  
Materials Science ◽  
Volume Fraction ◽  
Variational Problems ◽  
The Other ◽  
Microstructure Formation ◽  
Branching Patterns ◽  
Small Volume Fraction ◽  
New Phase

We study microstructure formation in two nonconvex singularly-perturbed variational problems from materials science, one modeling austenite–martensite interfaces in shape-memory alloys, the other one slip structures in the plastic deformation of crystals. For both functionals we determine the scaling of the optimal energy in terms of the parameters of the problem, leading to a characterization of the mesoscopic phase diagram. Our results identify the presence of a new phase, which is intermediate between the classical laminar microstructures and branching patterns. The new phase, characterized by partial branching, appears for both problems in the limit of small volume fraction, that is, if one of the variants (or of the slip systems) dominates the picture and the volume fraction of the other one is small.

PREPARATIONS OF ZINC OXIDES AND CHARACTERIZATION OF THE PHOTOVOLTAIC BEHAVIOR USING A SCANNING KELVIN PROBE

2010 ◽  
Vol 17 (05n06) ◽  
pp. 451-455
Author(s):  
Y. HE ◽  
W. ZHI ◽  
B. O. ZHOU
Keyword(s):  
Energy Level ◽  
Level Structure ◽  
Surface Photovoltage ◽  
Zno Films ◽  
Semiconductor Films ◽  
Kelvin Probe ◽  
Energy Level Structure ◽  
Scanning Kelvin Probe ◽  
Photovoltaic Behavior

Surface photovoltage of semiconductors depend strongly on their electronic structures, in particular, their Fermi energy level. This offers a possibility to characterize photoelectronic behavior using the Kelvin probe structure by measurements of work function (WF). In this paper, ZnO films were prepared using the CVD method and their microstructures and morphology were characterized using the XRD and SEM. Furthermore, photovoltage evolution and WF of selected ZnO samples were measured using a scanning Kelvin probe (SKP) system. It is found that the surface photovoltage and its time-resolved evolution process as well as the energy level structure of ZnO films can be correlated to WF very well. The present study therefore provides a simple and practical methodology for the characterization of photovoltaic behavior of semiconductor films.

Branch-point structure and the energy level characterization of avoided crossings

2000 ◽  
Vol 41 (1) ◽  
pp. 218-239 ◽  
Author(s):  
John R. Walkup ◽  
Martin Dunn ◽  
Deborah K. Watson
Keyword(s):  
Energy Level ◽  
Branch Point ◽  
Avoided Crossings

A BERESTYCKI–LIONS THEOREM REVISITED

2012 ◽  
Vol 14 (05) ◽  
pp. 1250033 ◽  
Author(s):  
JIANJUN ZHANG ◽  
WENMING ZOU
Keyword(s):  
Scalar Field ◽  
Ground State ◽  
Mountain Pass ◽  
Field Equations ◽  
Nonlinear Scalar Field ◽  
Growth Restrictions ◽  
Scalar Field Equations ◽  
Least Energy Solutions ◽  
Least Energy

In 1983, Berestycki and Lions [Nonlinear scalar field equations I. Existence of a ground state, Arch. Ration. Mech. Anal.82 (1983) 313–346] studied the following elliptic problem: [Formula: see text] where N ≥ 3, g is subcritical at infinity. They proved the existence of a ground state under some appropriate growth restrictions on g. In the present paper, we improve this result by showing that under the critical growth assumption on g the problem admits a ground state. In addition we study a mountain pass characterization of the least energy solutions of the problem. Without the assumption of the monotonicity of the function [Formula: see text], we show that the mountain pass value gives the least energy level.

scholarly journals A Note on a Mountain Pass Characterization of Least Energy Solutions

2003 ◽  
Vol 3 (4) ◽  
Author(s):  
Louis Jeanjean ◽  
Kazunaga Tanaka
Keyword(s):  
Mountain Pass ◽  
Least Energy Solutions ◽  
Least Energy

AbstractWe consider the equation-uʺ = g(u), u(x) ∈ HUnder general assumptions on the nonlinearity g we prove that the, unique up to translation, solution of (0.1) is at the mountain pass level of the associated functional. This result extends a corresponding result for least energy solutions when (0.1) is set on ℝ

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