Research Communication | Open Access
Volume 2021 | Communication ID 209
Limit behavior of an elliptic boundary problem with variable exponent on an oscillating nano layer
Hicham Maadan, Jamal Messaho, Mohamed Talbi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2021
February 15, 2021
March 15, 2021

Abstract: The aim of this work is to study the limit behavior of weak solutions of a elliptic boundary problem with variable exponent who describe a very high conductivity thermal problem on a structure, which contains an oscillating nano layer of thickness, periodicity and heat conductivity parameter depending of ε. The epiconvergence (also named Γ-convergence) method is considered to find the limit problems with interface conditions.