Publication details
Uniqueness of the critical point for semi-stable solutions in R-2
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Periodical |
| Magazine / Source | Calculus of Variations and Partial Differential Equations |
| MU Faculty or unit | |
| Citation | |
| Web | https://link.springer.com/article/10.1007/s00526-020-01903-5 |
| Doi | http://dx.doi.org/10.1007/s00526-020-01903-5 |
| Keywords | nonlinear elliptic equations |
| Description | In this paper we show the uniqueness of the critical point for semi-stable solutions of the problem {-Delta u = f(u) in Omega u > 0 in Omega u = 0 on partial derivative Omega, where Omega subset of R-2 is a smooth bounded domain whose boundary has nonnegative curvature and f(0) >= 0. It extends a result by Cabre-Chanillo to the case where the curvature of partial derivative Omega vanishes. |
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