We study partial C^{1,alpha}-regularity of minimizers of quasi--convex variational integrals with non--standard growth. We assume in particular that the relevant integrands satisfy an Orlicz's type growth condition, i.e. a so--called general growth condition. Moreover, the functionals are supposed to be non--autonomous and possibly degenerate.
Partial regularity for non-autonomous degenerate quasi-convex functionals with general growth / Celada, P.; Ok, J.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 194:(2020). [10.1016/j.na.2019.02.026]
Partial regularity for non-autonomous degenerate quasi-convex functionals with general growth
P. Celada;
2020-01-01
Abstract
We study partial C^{1,alpha}-regularity of minimizers of quasi--convex variational integrals with non--standard growth. We assume in particular that the relevant integrands satisfy an Orlicz's type growth condition, i.e. a so--called general growth condition. Moreover, the functionals are supposed to be non--autonomous and possibly degenerate.File in questo prodotto:
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