Abstract
The Gibbons conjecture stating the one-dimensional symmetry of certain solutions of semilinear elliptic equations has been proved by several authors. We show how attractivity properties of minimal propagating terraces of one-dimensional parabolic problems can be used in a proof of a version of this result and related statements.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 113-128 |
| Number of pages | 16 |
| Journal | Journal of Fixed Point Theory and Applications |
| Volume | 19 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1 2017 |
Bibliographical note
Publisher Copyright:© 2016, Springer International Publishing.
Keywords
- Elliptic equations
- Gibbons conjecture
- one-dimensional symmetry
- propagating terraces
- traveling fronts
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