Computing qualitatively correct approximations of partial differential equations i...
Symmetry and existence of solutions for nonlinear elliptic problems
| Full text | |
| Author(s): |
Ishiwata, Michinori
;
Li, Haoyu
Total Authors: 2
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 44, n. 6, p. 18-pg., 2024-01-24. |
| Abstract | |
Based on a parabolic flow, we study the existence of radial solutions with a prescribed number of nodes to an asymptotically linear elliptic problem. Moreover, for the problem defined on the unit ball, we establish a nonexistence result concerning the solutions with more than the prescribed number of nodes, see Assertion (2) of Theorem 1.3. This is a significant difference from the problem defined on the whole space since the latter admits solution with an arbitrarily large number of nodes. This is proved in Theorem 1.1. (AU) | |
| FAPESP's process: | 22/15812-0 - A Proposal on Varational Methods to Elliptic Systems |
| Grantee: | Haoyu Li |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |