| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Granada, Dept Math Anal, E-18071 Granada - Spain
[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil
[3] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 480, n. 2 DEC 15 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
For a bounded domain Omega in R-N, a bounded Caratheodory function g in Omega x R, and a nonnegative and nonzero locally integrable measurable function h in Omega, we give sufficient conditions on the C-1-function M : {[}0, infinity) -> R for the existence of a solution of the nonlocal elliptic problem [ -(1 + gamma M' (integral(Omega )vertical bar del u vertical bar(2)))Delta u = lambda u +g(x,u) - h(x)vertical bar u vertical bar(p-1)u+f(x), x is an element of Omega u(x) = 0, x is an element of partial derivative Omega for every p > 1, gamma > 0, lambda is an element of R and f is an element of L-2 (Omega). (C) 2019 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 17/16108-6 - Elliptic problems by variational and topological methods |
| Grantee: | Francisco Odair Vieira de Paiva |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 18/12881-5 - Locally coercive elliptic problems. |
| Grantee: | Jose Miguel Mendoza Aranda |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |