W 0 1, p(x) versus C 1 local minimizers for nonsmooth functionals

    Chengfu Che Info
    Bin Ge Info
    Xiao-Ping Xue Info
    Qing-Mei Zhou Info
DOI: https://doi.org/10.3846/13926292.2012.686066

Abstract

In this paper, we study that the local minimizers of a class of functionals (not necessarily differentiable) in the C 1 -topology are still their local minimizers in 

Keywords:

p(x)-Laplacian, Clarke's generalized gradient, local minimizers, nonsmooth functionals

How to Cite

Che, C., Ge, B., Xue, X.-P., & Zhou, Q.-M. (2012). W 0 1, p(x) versus C 1 local minimizers for nonsmooth functionals. Mathematical Modelling and Analysis, 17(3), 396-402. https://doi.org/10.3846/13926292.2012.686066

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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.

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Published

2012-06-01

Issue

Vol 17 No 3 (2012)

Section

Articles

Copyright

Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.

License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Che, C., Ge, B., Xue, X.-P., & Zhou, Q.-M. (2012). W 0 1, p(x) versus C 1 local minimizers for nonsmooth functionals. Mathematical Modelling and Analysis, 17(3), 396-402. https://doi.org/10.3846/13926292.2012.686066

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