Abstract In this paper we consider a class of non-uniformly elliptic integral functionals and we prove the local boundedness of the quasi-minimizers. Our approach is based on a suitable adaptation of the celebrated De Giorgi proof, and it relies on an appropriate Caccioppoli-type inequality.

中文翻译：

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非均匀椭圆积分的拟极小子的正则性

摘要 本文考虑一类非均匀椭圆积分泛函，并证明了拟极小子的局部有界性。我们的方法基于对著名的 De Giorgi 证明的适当改编，并且依赖于适当的 Caccioppoli 型不等式。