| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Estadual Paulista, UNESP, Dept Matemat & Comp, Rua Roberto Simonsen 305, BR-19060900 Presidente Prudente, SP - Brazil
[2] Univ Estadual Campinas, Dept Matemat, IMECC, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 299, p. 51-64, OCT 25 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We prove the existence of a bounded variation solution for a quasilinear elliptic problem involving the mean curvature operator and a sublinear nonlinearity. We obtain such a solution as the limit of the solutions of another quasilinear elliptic problem involving a parameter p > 1 as p -> 1(+). The analysis requires estimates independent on p, as well as a precise version of the weak Euler-Lagrange equation satisfied by the solution. (C) 2021 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 19/02512-5 - Systems and partial differential equations |
| Grantee: | Marcelo da Silva Montenegro |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 19/14330-9 - Variational and nonvariational elliptic problems involving the 1-Laplacian operator |
| Grantee: | Marcos Tadeu de Oliveira Pimenta |
| Support Opportunities: | Regular Research Grants |