TY  - JOUR
T1  - A boundary regularity result for minimizers of variational integrals with nonstandard growth
A1  - Bulíček, Miroslav
A1  - Maringová, Erika
A1  - Stroffolini, Bianca
A1  - Verde, Anna
JA  - Nonlinear Analysis
Y1  - 2018
VL  - Nonlinear Anal.
IS  - 177
SP  - 153
EP  - 168
M2  - doi: 10.1016/j.na.2018.03.001
KW  - boundary regularity
KW  - Elliptic system
KW  - existence of solutions
KW  - nonstandard growth conditions
N2  - 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.
M1  - Preprint project = NCMM
M1  - Preprint year = 2018
M1  - Preprint number = 01
M1  - Preprint ID = NCMM/2018/01
ER  -