Boundedness of Solutions of Quasi-periodic p-Laplacian Equations with Jumping Nonlinearity

被引：0
作者：
Zhang, Xin Li [1 ]
Peng, Ya Qun [2 ]
Piao, Da Xiong [3 ]
机构：
[1] Qingdao Univ Sci & Technol, Sch Math & Phys, Qingdao 266061, Peoples R China
[2] Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Peoples R China
[3] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2023年 / 39卷 / 01期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Quasi-periodic twist mapping; invariant curve; boundedness; p-Laplacian; STABILITY; THEOREM;
D O I：
10.1007/s10114-022-0625-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we prove the existence of quasi-periodic solutions and the boundedness of all solutions of the p-Laplacian equation (phi(p)(x '))' + a phi(p)(x(+)) - b phi(p)(x(-))= g(x,t) + f(t), where g(x,t) and f(t) are quasi-periodic in t with Diophantine frequency. A new method is presented to obtain the generating function to construct canonical transformation by solving a quasi-periodic homological equation.
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页码：176 / 192
页数：17
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