W01, p(x) Versus C1 Local Minimizers for Nonsmooth Functionals

Chengfu Che; Bin Ge; Xiao Ping Xue; Qing Mei Zhou

doi:10.3846/13926292.2012.686066

W₀^{1, p(x)} Versus C¹ Local Minimizers for Nonsmooth Functionals

Chengfu Che^*
, Bin Ge
, Xiao Ping Xue
, Qing Mei Zhou

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology
Harbin Engineering University
Northeast Forestry University

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

Abstract

In this paper, we study that the local minimizers of a class of functionals (not necessarily differentiable) in the C¹ -topology are still their local minimizers in.

Original language	English
Pages (from-to)	396-402
Number of pages	7
Journal	Mathematical Modelling and Analysis
Volume	17
Issue number	3
DOIs	https://doi.org/10.3846/13926292.2012.686066
State	Published - Jun 2012

Keywords

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

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10.3846/13926292.2012.686066

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title = "W01, p(x) Versus C1 Local Minimizers for Nonsmooth Functionals",

abstract = "In this paper, we study that the local minimizers of a class of functionals (not necessarily differentiable) in the C1 -topology are still their local minimizers in.",

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

author = "Chengfu Che and Bin Ge and Xue, \{Xiao Ping\} and Zhou, \{Qing Mei\}",

year = "2012",

month = jun,

doi = "10.3846/13926292.2012.686066",

language = "英语",

volume = "17",

pages = "396--402",

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number = "3",

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AU - Che, Chengfu

AU - Ge, Bin

AU - Xue, Xiao Ping

AU - Zhou, Qing Mei

PY - 2012/6

Y1 - 2012/6

N2 - In this paper, we study that the local minimizers of a class of functionals (not necessarily differentiable) in the C1 -topology are still their local minimizers in.

AB - In this paper, we study that the local minimizers of a class of functionals (not necessarily differentiable) in the C1 -topology are still their local minimizers in.

KW - Clarke's generalized gradient

KW - local minimizers

KW - nonsmooth functionals

KW - p(x)-Laplacian

UR - https://www.scopus.com/pages/publications/84865305022

U2 - 10.3846/13926292.2012.686066

DO - 10.3846/13926292.2012.686066

M3 - 文章

AN - SCOPUS:84865305022

SN - 1392-6292

VL - 17

SP - 396

EP - 402

JO - Mathematical Modelling and Analysis

JF - Mathematical Modelling and Analysis

IS - 3

ER -

W₀^{1, p(x)} Versus C¹ Local Minimizers for Nonsmooth Functionals

Abstract

Keywords

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