Two functionals for which $C^1_0$ minimizers are also $W_0^{1,p}$ minimizers
Brezis and Niremberg [1] showed that for a certain functional the $C_0^1$ minimizer is also the $H_0^1$ minimizer. In this paper, we present two functionals for which a local minimizer in the $C_0^1$ topology is also a local minimizer in the $W_0^{1,p}$ topology. As an application, we show some exis...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2002-01-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/09/abstr.html |