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A boundary regularity result for minimizers of variational integrals with nonstandard growth
Type of publication: Article
Citation:
Publication status: Published
Journal: Nonlinear Analysis
Volume: Nonlinear Anal.
Number: 177
Year: 2018
Pages: 153--168
DOI: 10.1016/j.na.2018.03.001
Abstract: We prove global Lipschitz regularity for a wide class of convex variational integrals among all functions in $W^{1,1}$ with prescribed (sufficiently regular) boundary values, which are not assumed to satisfy any geometrical constraint (as for example bounded slope condition). Furthermore, we do not assume any restrictive assumption on the geometry of the domain and the result is valid for all sufficiently smooth domains. The result is achieved with a suitable approximation of the functional together with a new construction of appropriate barrier functions.
Preprint project: NCMM
Preprint year: 2018
Preprint number: 01
Preprint ID: NCMM/2018/01
Keywords: boundary regularity, Elliptic system, existence of solutions, nonstandard growth conditions
Authors Bulíček, Miroslav
Maringová, Erika
Stroffolini, Bianca
Verde, Anna
Added by: [MB]
Total mark: 0
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  • LlogL_2018_preprint.pdf
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