Asymptotically linear magnetic fractional problems

Autor: Bartolo, Rossella, d'Avenia, Pietro, Bisci, Giovanni Molica
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: The aim of this paper is investigating the existence and multiplicity of weak solutions to non--local equations involving the {\em magnetic fractional Laplacian}, when the nonlinearity is subcritical and asymptotically linear at infinity. We prove existence and multiplicity results by using variational tools, extending to the magnetic local and non--local setting some known results for the classical and the fractional Laplace operators.
Comment: 10 pages
Databáze: arXiv