Abstract
We prove sharp regularity theorems for minimisers of a class of variational integrals whose integrand switches between two different types of degenerate elliptic phases, according to the zero set of a modulating coefficient \({a(\cdot)}\). The model case is given by the functional
where q > p and \({a(\cdot) \geqq 0}\).
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Colombo, M., Mingione, G. Regularity for Double Phase Variational Problems. Arch Rational Mech Anal 215, 443–496 (2015). https://doi.org/10.1007/s00205-014-0785-2
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DOI: https://doi.org/10.1007/s00205-014-0785-2