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In this paper, we analyze the conditions of the existence and nonexistence of one-dimensional local minimizers of the functions induced by the Poincare inequality. We mainly focus on the cases of square and rectangular domains. However, other cases are also discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 1928-1939 |
| Number of pages | 12 |
| Journal | Journal of Mathematical Sciences |
| Volume | 109 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1 Jan 2002 |
ID: 45873528