Multiple Solutions for a Class of System of (p, q)-Kirchhoff Equations in $\mathbb {R}^{N}$

2020 ◽  
Author(s):  
Qiang Chen ◽  
Caisheng Chen ◽  
Yunfeng Wei ◽  
Yanling Shi
Keyword(s):  
Multiple Solutions ◽  
Kirchhoff Equations

scholarly journals Multiple solutions of fractional Kirchhoff equations involving a critical nonlinearity

2018 ◽  
Vol 11 (3) ◽  
pp. 533-545 ◽  
Author(s):  
Hua Jin ◽  
◽  
Wenbin Liu ◽  
Jianjun Zhang ◽  
Keyword(s):  
Multiple Solutions ◽  
Critical Nonlinearity ◽  
Kirchhoff Equations

scholarly journals Multiple Solutions for Kirchhoff Equations under the Partially Sublinear Case

2015 ◽  
Vol 2015 ◽  
pp. 1-4 ◽  
Author(s):  
Wenjun Feng ◽  
Xiaojing Feng
Keyword(s):  
Multiple Solutions ◽  
Infinitely Many Solutions ◽  
Kirchhoff Equations ◽  
Kirchhoff Type ◽  
Clark’S Theorem

We prove the infinitely many solutions to a class of sublinear Kirchhoff type equations by using an extension of Clark’s theorem established by Zhaoli Liu and Zhi-Qiang Wang.

Multiple solutions for -Kirchhoff equations in

2013 ◽  
Vol 86 ◽  
pp. 146-156 ◽  
Author(s):  
Caisheng Chen ◽  
Hongxue Song ◽  
Zhonghu Xiu
Keyword(s):  
Multiple Solutions ◽  
Kirchhoff Equations

scholarly journals Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent

2020 ◽  
Vol 10 (1) ◽  
pp. 673-683
Author(s):  
Zupei Shen ◽  
Jianshe Yu
Keyword(s):  
Multiple Solutions ◽  
Kirchhoff Equations ◽  
Sobolev Exponent

Abstract In this article, we consider a class of Kirchhoff equations with critical Hardy-Sobolev exponent and indefinite nonlinearity, which has not been studied in the literature. We prove very nicely that this equation has at least two solutions in ℝ3. And some known results in the literature are improved.

MULTIPLE SOLUTIONS IN A NARROW HORIZONTAL AIR-FILLED ANNULUS

1998 ◽  
Author(s):  
Pierre Cadiou ◽  
Guy Lauriat ◽  
Gilles Desrayaud
Keyword(s):  
Multiple Solutions

An Overview of Risk-Based EEE Counterfeit Part Detection Based on SAE AS6171

2018 ◽  
Author(s):  
Michael H. Azarian
Keyword(s):  
Risk Assessment ◽  
Multiple Solutions ◽  
Test Equipment ◽  
Assessment Methodology ◽  
Test Plan ◽  
Specific Test ◽  
Risk Assessment Methodology

Abstract As counterfeiting techniques and processes grow in sophistication, the methods needed to detect these parts must keep pace. This has the unfortunate effect of raising the costs associated with managing this risk. In order to ensure that the resources devoted to counterfeit detection are commensurate with the potential effects and likelihood of counterfeit part usage in a particular application, a risk based methodology has been adopted for testing of electrical, electronic, and electromechanical (EEE) parts by the SAE AS6171 set of standards. This paper provides an overview of the risk assessment methodology employed within AS6171 to determine the testing that should be utilized to manage the risk associated with the use of a part. A scenario is constructed as a case study to illustrate how multiple solutions exist to address the risk for a particular situation, and the choice of any specific test plan can be made on the basis of practical considerations, such as cost, time, or the availability of particular test equipment.

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