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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Existence of solutions for a nonhomogeneous elliptic Kircchoff type equation

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Arcoya, David [1] ; de Paiva, Francisco Odair [2] ; Mendoza, Jose M. [3]
Total Authors: 3
[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
Document type: Journal article
Source: Journal of Mathematical Analysis and Applications; v. 480, n. 2 DEC 15 2019.
Web of Science Citations: 0

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 type: Regular Research Grants
FAPESP's process: 18/12881-5 - Locally coercive elliptic problems.
Grantee:Jose Miguel Mendoza Aranda
Support type: Scholarships in Brazil - Post-Doctorate