In a recent paper [Forum Math., 2008] the authors established some global, up to the boundary of a domain Ω ⊂ ℝⁿ, continuity and Morrey regularity results for almost minimizers of functionals of the form . The main assumptions for these results are that g is asymptotically convex and that it satisfies some growth conditions. In this article, we present a specialized but significant version of this general result. The primary purpose of this paper is provide several applications of this simplified result.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am35-3-6,
author = {Mikil Foss and Antonia Passarelli di Napoli and Anna Verde},
title = {Morrey regularity and continuity results for almost minimizers of asymptotically convex integrals},
journal = {Applicationes Mathematicae},
volume = {35},
year = {2008},
pages = {335-353},
zbl = {1153.49035},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am35-3-6}
}
Mikil Foss; Antonia Passarelli di Napoli; Anna Verde. Morrey regularity and continuity results for almost minimizers of asymptotically convex integrals. Applicationes Mathematicae, Tome 35 (2008) pp. 335-353. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am35-3-6/