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

Author(s):  
Qiang Chen ◽  
Caisheng Chen ◽  
Yunfeng Wei ◽  
Yanling Shi
2015 ◽  
Vol 2015 ◽  
pp. 1-4 ◽  
Author(s):  
Wenjun Feng ◽  
Xiaojing Feng

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.


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

2020 ◽  
Vol 10 (1) ◽  
pp. 673-683
Author(s):  
Zupei Shen ◽  
Jianshe Yu

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.


2018 ◽  
Author(s):  
Michael H. Azarian

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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