In this paper, we study that the local minimizers of a class of functionals (not necessarily differentiable) in the C1 -topology are still their local minimizers in
Che, C., Ge, B., Xue, X.-P., & Zhou, Q.-M. (2012). W 0 1, p(x) versus C 1 local minimizers for nonsmooth functionals. Mathematical Modelling and Analysis, 17(3), 396-402. https://doi.org/10.3846/13926292.2012.686066
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