Regularity theory for superquadratic energy functionals related to nonlinear Hencky materials in three dimensions

Dominic Breit · Journal of Applied Analysis · 2012

In this paper we discuss partial regularity results concerning local minimizers of variational integrals of the form where a and b are N -functions of rather general type. We prove partial regularity results under quite natural conditions between a and b . Furthermore we can extend this to the non-autonomous situation which finally leads to the study of minimizers of the functional where p and q are Lipschitz-functions.

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