Regularity Of ω-minimizers Of Integral Functionals With Continuous ρ(χ)-growth Conditions

Posted on:2011-04-12

Degree:Master

Type:Thesis

Country:China

Candidate:H Li

Full Text:PDF

GTID:2120360305464941

Subject:Applied Mathematics

Abstract/Summary:

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In this paper, by using the De Giorgi class Bm(x)(Î©,M,Î´,Î´1,Î´,(?)) and Ekeland's variational principle, the local Holder continuity ofÏ‰-minimizers of integral functionals with continuous p(x)-growth conditions is investigated.

Keywords/Search Tags:

ω-minimizers, integral functionals, H(o|¨)lder continuity, Ekeland's varia-tional principle

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