Nonzero positive solutions of fractional Laplacian systems with functional terms
Analysis of PDEs
2023-01-31 v2
Abstract
We study the existence of non-zero 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 non-local 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.
Keywords
Cite
@article{arxiv.2009.13356,
title = {Nonzero positive solutions of fractional Laplacian systems with functional terms},
author = {Stefano Biagi and Alessandro Calamai and Gennaro Infante},
journal= {arXiv preprint arXiv:2009.13356},
year = {2023}
}