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Further result on Dirichlet-Sch type inequality and its application
1School of Accounting, Henan University of Economics and Law, Zhengzhou, 450046 China.
Journal of Inequalities and Applications
|May 27, 2017
Summary
This study explores a theoretical question concerning the Dirichlet-Sch type inequality and its application to boundary value problems. It deduces the least harmonic majorant and log-concavity of extended subharmonic functions.
Area of Science:
- Mathematical Analysis
- Potential Theory
Background:
- The Dirichlet-Sch type inequality, established by Huang (2016), has been instrumental in recent studies on boundary value problems.
- Its application in deriving multiplicity results for differential equations is a developing area of research.
Purpose of the Study:
- To address a theoretical question arising from the application of the Dirichlet-Sch type inequality.
- To investigate a specific case of this inequality in greater detail.
- To apply the inequality to determine properties of extended subharmonic functions.
Main Methods:
- Theoretical analysis of the Dirichlet-Sch type inequality.
- Detailed examination of a particular case of the inequality.
- Application of the inequality to derive properties of extended subharmonic functions.
Main Results:
- The paper clarifies a theoretical aspect related to the Dirichlet-Sch type inequality.
- A detailed analysis of a specific case of the inequality is presented.
- The least harmonic majorant and log-concavity of extended subharmonic functions are deduced.
Conclusions:
- The findings contribute to a deeper understanding of the Dirichlet-Sch type inequality and its applications.
- The results provide new insights into the properties of extended subharmonic functions.
- This work potentially opens avenues for further research in boundary value problems and related areas.
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