Local boundedness for minimizers of variational integrals under anisotropic nonstandard growth conditions
摘要
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.