Nonlocal Variational Principles with Variable Growth

Joint Authors

Yang, Miaomiao
Fu, Yongqiang

Source

Journal of Function Spaces

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-07

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

This paper is concerned with the functional J defined by J(u)=∫Ω×ΩW(x,y,∇u(x),∇u(y))dx dy, where Ω⊂ℝN is a regular open bounded set and W is a real-valued function with variable growth.

After discussing the theory of Young measures in variable exponent Sobolev spaces, we study the weak lower semicontinuity and relaxation of J.

American Psychological Association (APA)

Fu, Yongqiang& Yang, Miaomiao. 2014. Nonlocal Variational Principles with Variable Growth. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1040667

Modern Language Association (MLA)

Fu, Yongqiang& Yang, Miaomiao. Nonlocal Variational Principles with Variable Growth. Journal of Function Spaces No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1040667

American Medical Association (AMA)

Fu, Yongqiang& Yang, Miaomiao. Nonlocal Variational Principles with Variable Growth. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1040667

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1040667