Weak lower semicontinuity of variational functionals with variable growth

Yongqiang Fu

doi:10.1186/1029-242X-2011-19

Weak lower semicontinuity of variational functionals with variable growth

Yongqiang Fu^*

^*Corresponding author for this work

School of Mathematics

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

1 Scopus citations

Abstract

In this paper, we establish the weak lower semicontinuity of variational functionals with variable growth in variable exponent Sobolev spaces. The weak lower semicontinuity is interesting by itself and can be applied to obtain the existence of an equilibrium solution in nonlinear elasticity.

Original language	English
Article number	19
Journal	Journal of Inequalities and Applications
Volume	2011
DOIs	https://doi.org/10.1186/1029-242X-2011-19
State	Published - 2011

Keywords

Lower semicontinuity
Variable growth
Variational functional

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10.1186/1029-242X-2011-19

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abstract = "In this paper, we establish the weak lower semicontinuity of variational functionals with variable growth in variable exponent Sobolev spaces. The weak lower semicontinuity is interesting by itself and can be applied to obtain the existence of an equilibrium solution in nonlinear elasticity.",

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year = "2011",

doi = "10.1186/1029-242X-2011-19",

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journal = "Journal of Inequalities and Applications",

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AB - In this paper, we establish the weak lower semicontinuity of variational functionals with variable growth in variable exponent Sobolev spaces. The weak lower semicontinuity is interesting by itself and can be applied to obtain the existence of an equilibrium solution in nonlinear elasticity.

KW - Lower semicontinuity

KW - Variable growth

KW - Variational functional

UR - https://www.scopus.com/pages/publications/84868108078

U2 - 10.1186/1029-242X-2011-19

DO - 10.1186/1029-242X-2011-19

M3 - 文章

AN - SCOPUS:84868108078

SN - 1025-5834

VL - 2011

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 19

ER -

Weak lower semicontinuity of variational functionals with variable growth

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Keywords

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