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20222025
most citedDiscarding Lavrentiev's Gap in Non-autonomous and Non-Convex Variational Problems

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math.FA2025

Smoothness of weight sharply discards Lavrentiev's gap for double phase functionals

Michał Borowski

We show that the smoother the weight, the broader the range of exponents for which the Lavrentiev's gap is absent for the double phase functionals, i.e., $u \mapsto \int_Ω \left(|\…