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Keywords:
local boundedness; minimizer; variational integral; anisotropic growth; convex; polyconvex
local boundedness; minimizer; variational integral; anisotropic growth; convex; polyconvex
Summary:
This paper deals with local boundedness for minimizers of vectorial integrals under anisotropic growth conditions by using De Giorgi's iterative method. We consider integral functionals with the first part of the integrand satisfying anisotropic growth conditions including a convex nondecreasing function $g$, and with the second part, a convex lower order term or a polyconvex lower order term. Local boundedness of minimizers is derived.
References:
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