Partial regularity for degenerate systems of double phase type

초록

We study partial regularity for degenerate elliptic systems of double-phase type, where the growth function is given by H(x, t) = t(p) + a(x)t(q) with 1 < p <= q and a(x) a nonnegative C-0,C-alpha-continuous function. Our main result proves that if q/p <= 1 + alpha/n , the gradient of any weak solution is locally H & ouml;lder continuous, except on a set of measure zero. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

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