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Regularity results for minimizers of non-autonomous integral functionals

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The study shows higher fractional differentiability for minimizers of non-autonomous integral functionals.
Under (p, q)-growth conditions, the results apply without needing differentiability on the function g.
Minimizers are examined based on a suitable assumption for the partial map related to f(x, Du).
These results may expand the understanding of regularity in variational calculus.

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This work finds higher fractional differentiability in minimizers of integral functionals, suggesting conditions for non-autonomous cases.

Grimaldi et al. (2025) studied this question.

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This work finds higher fractional differentiability in minimizers of integral functionals, suggesting conditions for non-autonomous cases.