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- Title
Nonzero positive solutions of fractional Laplacian systems with functional terms.
- Authors
Biagi, Stefano; Calamai, Alessandro; Infante, Gennaro
- Abstract
We study the existence of nonzero positive solutions of a class of systems of differential equations driven by fractional powers of the Laplacian. Our approach is based on the notion of fixed point index, and allows us to deal with nonlocal functional weights and functional boundary conditions. We present two examples to shed light on the type of functionals and growth conditions that can be considered with our approach.
- Subjects
FRACTIONAL powers; LAPLACIAN operator; FRACTIONAL differential equations; FUNCTIONALS
- Publication
Mathematische Nachrichten, 2023, Vol 296, Issue 1, p102
- ISSN
0025-584X
- Publication type
Article
- DOI
10.1002/mana.202100074