On Weak Solvability of Boundary Value Problem with Variable Exponent Arising in Nanostructure | Zendy

Hicham Maadan | Zendy; Nour Eddine Askour | Zendy; Jamal Messaho | Zendy

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

Author(s) -

Hicham Maadan,

Nour Eddine Askour,

Jamal Messaho

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/7047113

Subject(s) - sobolev space , limit (mathematics) , exponent , mathematics , boundary value problem , variable (mathematics) , space (punctuation) , mathematical analysis , pure mathematics , computer science , philosophy , linguistics , operating system

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.

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