摘要
研究一类非局部p-Laplace方程Neumann问题的可解性.当非线性项满足广义p-次线性条件时,利用变分方法和临界点理论,得到了该问题非平凡解存在的充分条件.
In this paper,we investigate the solvability of a class of nonlocal p-Laplacian equation with Neumann boundary value. If the nonlinear term satisfies generalized p-sublinear growth condition,some sufficient conditions for the existence of nontrivial solutions for this problem are proved by variational methods and critical point theory.
作者
孙旸
张申贵
SUN Yang;ZHANG Shengui(College of Mathematics and Computer Science,Northwest University for Nationalities,Lanzhou Gansu 73003)
出处
《宁夏师范学院学报》
2018年第7期13-17,共5页
Journal of Ningxia Normal University
基金
国家自然科学基金项目资助(11401473)
甘肃省自然科学基金资助(17JR5RA284)
西北民族大学中央高校基本科研业务专项经费资助(31920180041)