On the semilinear elliptic equations of electrostatic NEMS devices

In this paper, we analyze a class of semilinear elliptic equations with boundary value problem based on electrostatic nanoelectromechanical system. First, we will use upper and lower solution method to study the existence of solutions and some properties of minimal solutions for the problem. Then, w...

Full description

Saved in:
Bibliographic Details
Published inZeitschrift für angewandte Mathematik und Physik Vol. 65; no. 6; pp. 1207 - 1222
Main Authors Zhang, Ruifeng, Cai, Liang
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.12.2014
Subjects
Boundary value problems
Devices
Electrostatics
Engineering
Mathematical analysis
Mathematical Methods in Physics
Nanoelectromechanical systems
Theoretical and Applied Mechanics
Variational methods
35J65
35J20
The variational method
35J60
35B32
NEMS
Semilinear elliptic equations
The upper and lower solution method
Online AccessGet full text
ISSN0044-2275
1420-9039
DOI10.1007/s00033-013-0381-6

Cover

More Information
Summary:In this paper, we analyze a class of semilinear elliptic equations with boundary value problem based on electrostatic nanoelectromechanical system. First, we will use upper and lower solution method to study the existence of solutions and some properties of minimal solutions for the problem. Then, we will establish the existence of a second solution by variational method in some conditions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-013-0381-6