Two Functionals for which C 1 0 Minimizers are also W 1 o, p Minimizers
| dc.contributor.author | Li, Yanming | |
| dc.contributor.author | Xuan, Benjin | |
| dc.date.accessioned | 2020-07-07T21:02:37Z | |
| dc.date.available | 2020-07-07T21:02:37Z | |
| dc.date.issued | 2002-01-24 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/11987 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | W 1 0, p minimizers | |
| dc.subject | C 1 0 minimizers | |
| dc.subject | Divergence elliptic equation | |
| dc.subject | p-Laplacian | |
| dc.title | Two Functionals for which C 1 0 Minimizers are also W 1 o, p Minimizers | |
| dc.type | Article |