Asymptotically linear magnetic fractional problems

被引：1
作者：
Bartolo, Rossella [1 ]
d'Avenia, Pietro [1 ]
Bisci, Giovanni Molica [2 ]
机构：
[1] Politecn Bari, Dipartimento Meccan Matemat & Management, Via E Orabona 4, I-70125 Bari, Italy
[2] Univ Urbino Carlo Bo, Dipartimento Sci Pure & Applicate DiSPeA, Piazza Repubbl 13, I-61029 Urbino, Italy
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 151卷
关键词：
Magnetic fractional Laplacian; Variational methods; Asymptotically linear problem; Variational Dirichlet eigenvalues; Abstract critical point theorem; OPERATORS; THEOREMS;
D O I：
10.1016/j.aml.2024.109001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is investigating the existence and multiplicity of weak solutions to nonlocal equations involving the 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.
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页数：8
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