| Full text | |
| Author(s): |
Gasinski, Leszek
;
Santos Junior, Joao R.
;
Siciliano, Gaetano
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Fixed Point Theory and Applications; v. 24, n. 3, p. 15-pg., 2022-09-01. |
| Abstract | |
We study a class of elliptic problems with homogeneous Dirichlet boundary condition and a nonlinear reaction term f which is nonlocal depending on the L-p-norm of the unknown function. The nonlinearity f can make the problem degenerate since it may even have multiple singularities in the nonlocal variable. We use fixed point arguments for an appropriately defined solution map, to produce multiplicity of classical positive solutions with ordered norms. (AU) | |
| FAPESP's process: | 19/27491-0 - Study of partial differential equations via variational and topological methods |
| Grantee: | Gaetano Siciliano |
| Support Opportunities: | Scholarships abroad - Research |