Abdolrahman Razani, Giovany M. Figueiredo
We consider a system of nonlocal elliptic equations
with Dirichlet boundary condition, where is a bounded domain in with boundary. Using sub-supersolution method, we prove the existence of at least one positive weak solution. Also, we study a generalized logistic equation and a sublinear system.
Submitted June 18, 2021. Published May 1, 2022
Math Subject Classifications: 35J91, 35J60, 35D30.
Key Words: Nonlocal problem, p(x)-Laplacian, sub-supersolution; minimal wave speed.
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| Abdolrahman Razani |
Department of Pure Mathematics
Faculty of Science
Imam Khomeini International University
Postal code: 34148-96818, Qazvin, Iran
| Giovany M. Figueiredo |
Departamento de Matemática
Universidade de Brasilia
70.910-900, Brasilia (DF), Brazil
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