| Full text | |
| Author(s): |
Santos, Joao R.
;
Siciliano, Gaetano
Total Authors: 2
|
| Document type: | Journal article |
| Source: | ASYMPTOTIC ANALYSIS; v. 129, n. 2, p. 12-pg., 2022-01-01. |
| Abstract | |
We consider a boundary value problem in a bounded domain involving a degenerate operator of the form L(u) = -div(a(x)del u) and a suitable nonlinearity f. The function a vanishes on smooth 1-codimensional submanifolds of Omega where it is not allowed to be C-2. By using weighted Sobolev spaces we are still able to find existence of solutions which vanish, in the trace sense, on the set where a vanishes. (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 |