Mathematica Eterna
Open Access

Abstract

Global boundedness for vector valued minimizers of some anisotropic variational integrals

Wang Lianhong, Gao Hongya

This paper deals with anisotropic integral functionals of the type I(u; Ω) = Z 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.