| Full text | |
| Author(s): |
Barboza, Eudes M.
;
Miyagaki, Olimpio H.
;
Pereira, Fabio R.
;
Santana, Claudia R.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Electronic Journal of Differential Equations; v. N/A, p. 18-pg., 2021-03-29. |
| Abstract | |
In this article we study the Henon equation -Delta u = lambda vertical bar x vertical bar(mu)u + vertical bar x vertical bar(alpha)vertical bar u vertical bar(2)(alpha)*(-2)u in B-1, u = 0 on partial derivative B-1, where B-1 is the ball centered at the origin of R-N (N >= 3) and mu >= alpha >= 0. Under appropriate hypotheses on the constant lambda, we prove existence of at least one radial solution using variational methods. (AU) | |
| FAPESP's process: | 19/24901-3 - Critical nonlocal quasilinear problem: existence, multiplicity and properties of the solutions |
| Grantee: | Olimpio Hiroshi Miyagaki |
| Support Opportunities: | Regular Research Grants |