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非局部p-Laplace方程Neumann问题的非平凡解 被引量:1

Nontrivial Solutions for Nonlocal p-Laplace Equation with Neumann Boundary Value
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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)
关键词 非局部p-Laplace方程 NEUMANN边值问题 临界点 Nonlocal p-Laplacian equation Neumann boundary value problem Critical point
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