非标准增长函数的赫尔德最小值的正则性结果

Pub Date : 2024-05-16 DOI:10.1002/mana.202300412

Antonio Giuseppe Grimaldi, Erica Ipocoana

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引用次数: 0

摘要

我们研究了在系数的贝索夫假设条件下，满足-增长条件的非自治函数的赫尔德连续最小值的正则特性。特别是，我们能够证明最小问题解的高可整性和高可微性结果。

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Regularity results for Hölder minimizers to functionals with non-standard growth

We study the regularity properties of Hölder continuous minimizers to non-autonomous functionals satisfying $(p, q)$ -growth conditions, under Besov assumptions on the coefficients. In particular, we are able to prove higher integrability and higher differentiability results for solutions to our minimum problem.

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