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Bifurcation results for a class of elliptic equations with a nonlocal reaction term and interior interface boundary conditions

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Author(s):
Maia, Braulio B. V. ; Nobrega, Alannio B.
Total Authors: 2
Document type: Journal article
Source: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 82, p. 11-pg., 2025-04-01.
Abstract

In this paper, we study a class of elliptic problems with a interior interface condition, which arise in population dynamics. In these problems, each population lives in a subdomain and they interact in a common border, which acts as a geographical barrier. The main novelty in our work is the presence of a nonlocal reaction terms. To obtain our results we employ mainly bifurcation methods. (AU)

FAPESP's process: 23/09149-9 - Problems involving the p-Finsler laplacian operator
Grantee:Olimpio Hiroshi Miyagaki
Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
FAPESP's process: 23/09656-8 - A study about elliptical partial differential equations of Choquard type
Grantee:Braulio Brendo Vasconcelos Maia
Support Opportunities: Scholarships in Brazil - Post-Doctoral