Nonlocal variational principles with variable growth

Yongqiang Fu; Miaomiao Yang

doi:10.1155/2014/435247

Nonlocal variational principles with variable growth

Yongqiang Fu
, Miaomiao Yang^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

This paper is concerned with the functional J defined by J (u) = ∫ _ω×ω W (x, y, Δu(x), Δ u(y))dx dy, where ω ⊂ R^N 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.

Original language	English
Article number	435247
Journal	Journal of Function Spaces
Volume	2014
DOIs	https://doi.org/10.1155/2014/435247
State	Published - 2014

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title = "Nonlocal variational principles with variable growth",

abstract = "This paper is concerned with the functional J defined by J (u) = ∫ ω×ω W (x, y, Δu(x), Δ 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.",

author = "Yongqiang Fu and Miaomiao Yang",

year = "2014",

doi = "10.1155/2014/435247",

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AB - This paper is concerned with the functional J defined by J (u) = ∫ ω×ω W (x, y, Δu(x), Δ 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.

UR - https://www.scopus.com/pages/publications/84900297090

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DO - 10.1155/2014/435247

M3 - 文章

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SN - 2314-8896

VL - 2014

JO - Journal of Function Spaces

JF - Journal of Function Spaces

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Nonlocal variational principles with variable growth

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