Bistable laser with long-delayed feedback: a scaling investigation
Dynamical and transport properties in conservative and dissipative dynamical systems
| Full text | |
| Author(s): |
Costa, Augusto C. R.
;
Miyagaki, Olimpio H.
;
Pereira, Fabio R.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. 46, n. 1, p. 13-pg., 2022-07-11. |
| Abstract | |
In this work, we consider a class of critical variational systems in Double-struck capital RN$$ {\mathbb{R}}^N $$ of the Hardy-Kirchhoff type involving the fractional Laplacian operator. By imposing some conditions on the nonlinearity as well as in the potencial, we recover the compactness combining arguments used in Alves and Souto and in Brezis and Nirenberg. Only monotonicity conditions are employed, without imposing any coercivity condition on the potential, which can tend to zero at infinity. Our result is closely related to that obtained by Fiscella, Pucci and Zhang. (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 |