| Full text | |
| Author(s): |
Santos Junior, Joao R.
[1]
;
Siciliano, Gaetano
Total Authors: 2
|
| Affiliation: | [1] Univ Fed Para, Inst Ciencias Exatas & Nat, Fac Matemat, Ave Augusto Correa 01, BR-66075110 Belem, PA - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 265, n. 5, p. 2034-2043, SEP 5 2018. |
| Web of Science Citations: | 6 |
| Abstract | |
In this paper we study the Kirchhoff problem [ -m(parallel to u parallel to(2))Delta u = f(u) in Omega, u = 0 on partial derivative Omega, in a bounded domain, allowing the function m to vanish in many different points. Under an appropriated area condition, by using a priori estimates, truncation techniques and variational methods, we prove a multiplicity result of positive solutions which are ordered in the H-0(1)(Omega)-norm. (C) 2018 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 16/02617-3 - Variational and topological methods in nonlinear elliptic equations |
| Grantee: | Gaetano Siciliano |
| Support Opportunities: | Regular Research Grants |