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.
Nonzero positive solutions of fractional Laplacian systems with functional terms
Biagi, S;
2023-01-01
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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
S.Biagi, A. Calamai, G. Infante - Nonzero positive solutions of fractional Laplacian systems with functional terms.pdf
Accesso riservato
Dimensione
262.93 kB
Formato
Adobe PDF
|
262.93 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.