Li, YanmingXuan, Benjin2020-07-072020-07-072002-01-24Li, Y., & Xuan, B. (2002). Two functionals for which C 1 0 minimizers are also W 1 o, p minimizers. <i>Electronic Journal of Differential Equations, 2002</i>(09), pp. 1-18.1072-6691https://hdl.handle.net/10877/11987Brezis and Niremberg [1] showed that for a certain functional the C¹₀ minimizer is also the H¹₀ minimizer. In this paper, we present two functionals for which a local minimizer in the C¹₀ topology is also a local minimizer in the W¹₀,p topology. As an application, we show some existence results involving the sub and super solution method for elliptic equations.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalW 1 0, p minimizersC 1 0 minimizersDivergence elliptic equationp-LaplacianArticle