摘要
利用非线性项在有界集上的高度函数研究一类具p-Laplacian算子的无穷多点边值问题,得到多重正解的存在性,并对所得结论加以推广,最后举例验证所得结果的有效性.
Using height functions of the nonlinear term on some bounded sets and considering integrations of these height functions, we research one class of infinite point boundary value problem with p-laplacian operator, obtain the existence of multiplicity of positive solutions and promote the conclusions. the last, we will examine the efficiency for the results via examples.
作者
王和香
张四保
刘珍
席小忠
胡卫敏
WANG He-xiang;ZHANG Si-bao;LU Zhen;XI Xiao-zhong;HU Wei-min(School of Mathematics and Statistic Kashgar University,Kashgar 844006,China;Institute of Mathematics and Computer Science,Yichun College,Yichun 336000,China;School of Mathematics and Statistic,Yili Normal University,Yinin 835000,China)
出处
《数学的实践与认识》
北大核心
2019年第4期267-272,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(11201411)
新疆维吾尔自治区自然科学基金(2016D01A014)
喀什大学校内课题((16)2588)
