On sequences of homoclinic solutions for fractional discrete p-Laplacian equations

被引：4

作者：

Ju, Chunming ^{[1
]}

Bisci, Giovanni Molica ^{[2
]}

Zhang, Binlin ^{[1
,3
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

[2] Univ Urbino Carlo Bo, Dipartimento Sci Pure & Applicate DiSPeA, I-61029 Urbino, Italy

[3] Zhejiang Normal Univ, Sch Math, Jinhua 321004, Peoples R China

来源：

COMMUNICATIONS IN ANALYSIS AND MECHANICS | 2023年 / 15卷 / 04期

基金：

中国国家自然科学基金;

关键词：

discrete fractional p-Laplacian; homoclinic solutions; Ricceri's variational principle; MULTIPLE SOLUTIONS; EXISTENCE;

D O I：

10.3934/cam.2023029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the following discrete fractional p-Laplacian equations:(-Delta 1)spu(a) + V(a)|u(a)|p-2u(a) = lambda f (a, u(a)), in Z,where lambda is the parameter and f (a, u(a)) satisfies no symmetry assumption. As a result, a specific positive parameter interval is determined by some requirements for the nonlinear term near zero, and then infinitely many homoclinic solutions are obtained by using a special version of Ricceri's variational principle.

引用

页码：586 / 597

页数：12

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