| Full text | |
| Author(s): |
Balducci, Francesco
;
Oliva, Francescantonio
;
Petitta, Francesco
;
Stapenhorst, Matheus f.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. N/A, p. 33-pg., 2024-12-24. |
| Abstract | |
In this paper we study existence and regularity of solutions to Dirichlet problems as {-div(|u|(m) Du |Du|)=f in Omega, u=0 on partial derivative Omega, w here Omega is an open bounded subset of RN (N >= 2) with Lipschitz boundary, m>0, and f belongs to the Lorentz space LN,infinity(Omega). In particular, we explore the regularizing effect given by the degenerate coefficient |u|(m) in order to get non-trivial and bounded solutions with no smallness assumptions on the size of the data. (AU) | |
| FAPESP's process: | 22/15727-2 - Singular quasilinear elliptic problems involving the 1-laplacian operator |
| Grantee: | Matheus Frederico Stapenhorst |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 21/12773-0 - Singular quasilinear elliptic problems involving the 1-laplacian and mean curvature operators |
| Grantee: | Matheus Frederico Stapenhorst |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |