| Full text | |
| Author(s): |
Pimenta, Marcos T. O.
;
Gonzaga, Anderson dos Santos
Total Authors: 2
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS; v. N/A, p. 21-pg., 2022-05-20. |
| Abstract | |
In this work, we study a class of Henon-type equations which involve the 1-Laplacian operator in the unit ball. Under mild assumptions on the nonlinearity, the existence of radial solutions is proved and, for a parameter in a certain range, the existence of symmetry breaking is proved, through the presence of non-radial solutions. The approach is based on an approximation scheme, where a thorough analysis of the solutions of the associated p-Laplacian problems is necessary. (AU) | |
| FAPESP's process: | 21/04158-4 - Elliptic problems involving the mean-curvature operator in the space of functions of bounded variation |
| Grantee: | Marcos Tadeu de Oliveira Pimenta |
| Support Opportunities: | Regular Research Grants |