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Some remarks on the regularity of minimizers of integrals with anisotropic growth. (English) Zbl 0794.49034

Summary: We prove higher integrability for minimizers of some integrals of the calculus of variations; such an improved integrability allows us to get existence of weak second derivatives.

MSC:

49N60 Regularity of solutions in optimal control
35J60 Nonlinear elliptic equations