Existence of positive radial solutions for a nonlinear elliptic problem in annulus domains |
| |
Authors: | Jian Deng |
| |
Affiliation: | School of Mathematical sciences, South China Normal University, , Guangzhou, 510631 China |
| |
Abstract: | In this paper, we study a nonlinear elliptic problem in an annulus domain. For which, the nonexistence of nontrivial solutions has been obtained by some authors in star‐shaped domain. Although we note that it may admit non‐trivial solutions if the domain is non‐star shaped. With the use of a variational method, we establish the existence of positive radial solutions in an annulus domain. On the basis of this, we also extend this result to the periodic problem of the corresponding degenerate parabolic problem. Copyright © 2012 John Wiley & Sons, Ltd. |
| |
Keywords: | positive radial solutions annulus domain periodic solution |
|
|