scholarly journals On limit behavior of a solution to boundary value problem in a plane sector

2020 ◽  
Author(s):  
Shaban H. Kutaiba ◽  
Vladimir B. Vasilyev
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Limit Behavior

scholarly journals On Weak Solvability of Boundary Value Problem with Variable Exponent Arising in Nanostructure

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Hicham Maadan ◽  
Nour Eddine Askour ◽  
Jamal Messaho
Keyword(s):  
Sobolev Space ◽  
Boundary Value Problem ◽  
Elliptic Problem ◽  
Weak Solutions ◽  
Variable Exponent ◽  
Boundary Value ◽  
Limit Problem ◽  
Limit Behavior ◽  
Interface Conditions ◽  
Weak Solvability

This work is devoted to study the limit behavior of weak solutions of an elliptic problem with variable exponent, in a containing structure, of an oscillating nanolayer of thickness and periodicity parameter depending on ε . The generalized Sobolev space is constructed, and the epiconvergence method is considered to find the limit problem with interface conditions.

Sign in / Sign up

Export Citation Format

Share Document