Regularity for minimizers of functionals with variable growth and discontinuous coefficients
Xia Zhang ; Yan Huo ; Yongqiang Fu
Annales Polonici Mathematici, Tome 111 (2014), p. 171-187 / Harvested from The Polish Digital Mathematics Library
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Based on the theory of variable exponent spaces, we study the regularity of local minimizers for a class of functionals with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain local Hölder continuity of minimizers.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:281035 
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     year = {2014},
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Xia Zhang; Yan Huo; Yongqiang Fu. Regularity for minimizers of functionals with variable growth and discontinuous coefficients. Annales Polonici Mathematici, Tome 111 (2014) pp. 171-187. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap110-2-5/