Two Functionals for which C 1 0 Minimizers are also W 1 o, p Minimizers
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Date
2002-01-24
Authors
Li, Yanming
Xuan, Benjin
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Brezis 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.
Description
Keywords
W 1 0, p minimizers, C 1 0 minimizers, Divergence elliptic equation, p-Laplacian
Citation
Li, 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.
Rights
Attribution 4.0 International