Asymptotically linear fractional p-Laplacian equations

被引：0
|
作者：
Rossella Bartolo
Giovanni Molica Bisci
机构：
[1] Politecnico di Bari,Dipartimento di Meccanica, Matematica e Management
[2] Università ‘Mediterranea’ di Reggio Calabria,Dipartimento PAU
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2017年 / 196卷
关键词：
Fractional ; -Laplacian; Integro-differential operator; Variational methods; Asymptotically linear problem; Resonant problem; Pseudo-genus; Primary 49J35; 35A15; 35S15; 58E05; Secondary 47G20; 45G05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we study the multiplicity of weak solutions to (possibly resonant) nonlocal equations involving the fractional p-Laplacian operator. More precisely, we consider a Dirichlet problem driven by the fractional p-Laplacian operator and involving a subcritical nonlinear term which does not satisfy the technical Ambrosetti–Rabinowitz condition. By framing this problem in an appropriate variational setting, we prove a multiplicity theorem.
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页码：427 / 442
页数：15
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