| Full text | |
| Author(s): |
Bahrouni, Sabri
;
Leite, Edir Junior Ferreira
;
Madeira, Gustavo Ferron
Total Authors: 3
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS; v. N/A, p. 21-pg., 2025-12-24. |
| Abstract | |
This paper deals with explicit upper and lower bounds for principal eigenvalues and the maximum principle associated to generalized Lane-Emden systems (GLE systems). Regarding the bounds, we generalize a well-known upper estimate for the first eigenvalue of linear scalar problems on general domains to the case of strongly coupled GLE systems with m >= 2 equations on smooth domains. The explicit lower estimate we obtain is also used to derive a maximum principle to GLE systems relying in terms of quantitative ingredients. Furthermore, as applications of the previous results, upper and lower estimates for the first eigenvalue of weighted poly-Laplacian eigenvalue problems with L-p weights (p > n) and Navier boundary condition are obtained. Moreover, a strong maximum principle depending on the domain and the weight function for scalar problems involving the poly-Laplacian operator is also established. (AU) | |
| FAPESP's process: | 22/16407-1 - TESdE: Thematic on Equations and Systems of differential Equations |
| Grantee: | Ederson Moreira dos Santos |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 23/04515-7 - Non local operators with non standard growth |
| Grantee: | Sabri Bahrouni |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |