Global boundedness for vector valued minimizers of some anisotropic variational integrals

Wang Lianhong, Gao Hongya
2016 Mathematica Aeterna   unpublished
This paper deals with anisotropic integral functionals of the type I(u; Ω) = Ω f (x, Du(x))dx. We present a monotonicity inequality on the density f (x, ξ) with weight, which guarantees global boundedness of minimizers u with gradient constraints. Mathematics Subject Classification: 49N60