| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Tecn Federico Santa Maria, Dept Matemat, Ave Esparia 1680, Casilla 110-V, Valparaiso - Chile
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 38, n. 8, p. 3831-3850, AUG 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper we consider the equation (-Delta)(k) u = lambda f(x,u) + mu g(x,u) with Navier boundary conditions, in a bounded and smooth domain. The main interest is when the nonlinearity is nonnegative but admits a zero and f, g are, respectively, identically zero above and below the zero. We prove the existence of multiple positive solutions when the parameters lie in a region of the form lambda > (lambda) over bar and 0 < mu < (mu) over bar(lambda), then we provide further conditions under which, respectively, the bound (mu) over bar(lambda) is either necessary, or can be removed. (AU) | |
| FAPESP's process: | 14/25398-0 - Elliptic equations and systems with several kinds of interaction with the spectrum |
| Grantee: | Eugenio Tommaso Massa |
| Support Opportunities: | Regular Research Grants |