On Hypothesis about the Second Eigenvalue of the Leontief Matrix

1998 ◽  
Vol 10 (3) ◽  
pp. 285-290 ◽  
Author(s):  
Stanisław Białas ◽  
Henryk Gurgul
Keyword(s):  
Leontief Matrix ◽  
Second Eigenvalue

scholarly journals Extrema of Low Eigenvalues of the Dirichlet–Neumann Laplacian on a Disk

2010 ◽  
Vol 62 (4) ◽  
pp. 808-826
Author(s):  
Eveline Legendre
Keyword(s):  
Boundary Conditions ◽  
Mixed Boundary ◽  
Neumann Boundary ◽  
Mixed Boundary Conditions ◽  
First Eigenvalue ◽  
Bounded Number ◽  
Eigenvalues Of The Laplacian ◽  
Neumann Laplacian ◽  
Dirichlet And Neumann Conditions ◽  
Second Eigenvalue

AbstractWe study extrema of the first and the second mixed eigenvalues of the Laplacian on the disk among some families of Dirichlet–Neumann boundary conditions. We show that the minimizer of the second eigenvalue among all mixed boundary conditions lies in a compact 1-parameter family for which an explicit description is given. Moreover, we prove that among all partitions of the boundary with bounded number of parts on which Dirichlet and Neumann conditions are imposed alternately, the first eigenvalue is maximized by the uniformly distributed partition.

Leontief matrix

2001 ◽  
pp. 448-448
Author(s):  
Saul I. Gass ◽  
Carl M. Harris
Keyword(s):  
Leontief Matrix

An Analysis of Carbon Footprint of Beijing Based on Input-Output Model

2013 ◽  
Vol 807-809 ◽  
pp. 1052-1058
Author(s):  
Zhe Wang ◽  
Yu Li ◽  
Ze Hong Li ◽  
Liang Yuan ◽  
Ji Zheng
Keyword(s):  
Carbon Footprint ◽  
Carbon Emission ◽  
Manufacturing Industry ◽  
Industrial Sector ◽  
Human Society ◽  
Low Carbon ◽  
Input Output ◽  
Low Carbon Economy ◽  
Leontief Matrix ◽  
Annual Carbon

Climate change caused by increasing carbon emission is harmful to global environment and human society. Developing low-carbon economy through reasonable industries planning and effective utilization of resources is a significant path to achieve the aim of energy saving and carbon emission reduction. The word carbon footprint means carbon emission caused by a certain industry, activity, product or individual, and the issue of carbon emission should be linked with economic activity to analyze, while input-output model is a reliable method to contact two factors. Based on input-output model, this paper calculated direct or indirect carbon emission which is demanded for the products of final consumption in Beijing, and analyzed carbon footprint of each industrial sector in 2005, 2007 and 2010 by operating Leontief matrix. The result demonstrates annual carbon emission of Beijing increased from 10482.68×104ton to 17407.28×104ton during 2000-2011. Manufacturing industry, excavating industry, transportation and postal industry exert supreme impact on carbon emission in Beijing. Carbon footprint of transportation and postal industry and other tertiary industries such as information, business, service, education, science researching industries in 2010 had an obvious rise compare with the data of 2005 and 2007.

scholarly journals Local bifurcation from the second eigenvalue of the Laplacian in a square

2003 ◽  
Vol 131 (11) ◽  
pp. 3499-3505 ◽  
Author(s):  
Manuel del Pino ◽  
Jorge García-Melián ◽  
Monica Musso
Keyword(s):  
Local Bifurcation ◽  
Second Eigenvalue

THE REGION OF SOLVABILITY OF A PARAMETERIZED BOUNDARY VALUE PROBLEM CAN BE DISCONNECTED

2004 ◽  
Vol 06 (06) ◽  
pp. 901-912
Author(s):  
ANTONIO J. UREÑA
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
First Eigenvalue ◽  
The First Eigenvalue ◽  
Second Eigenvalue

A celebrated result by Amann, Ambrosetti and Mancini [1] implies the connectedness of the region of existence for some parameter-depending boundary value problems which are resonant at the first eigenvalue. The analogous thing does not hold for problems which are resonant at the second eigenvalue.

Sign in / Sign up

Export Citation Format

Share Document