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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 semilinear elliptic equation

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Author(s):
Arcoya, David [1] ; de Paiva, Francisco Odair [2] ; Mendoza, Jose M. [2]
Total Authors: 3
Affiliation:
[1] Univ Granada, Dept Math Anal, E-18071 Granada - Spain
[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos - Brazil
Total Affiliations: 2
Document type: Journal article
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 195, JUN 2020.
Web of Science Citations: 0
Abstract

For a bounded domain Omega, a bounded Caratheodory function g in Omega x R, p > 1 and a nonnegative locally integrable function h in Omega which is strictly positive in a set of positive measure we prove that, contrarily with the case h equivalent to 0, there exists a solution of the semilinear elliptic problem [-Delta u = lambda u + g(x, u) - h vertical bar u vertical bar(p-1)u + f, in Omega u = 0, on partial derivative Omega, for every lambda is an element of R and f is an element of L-2(Omega). (C) 2019 Elsevier Ltd. 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