The existence and multiplicity of solutions of three-pointp-Laplacian boundary value problems with one-sided Nagumo condition

Jianjun Zhang; Wenbin Liu; Jinbo Ni; Taiyong Chen

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The existence and multiplicity of solutions of three-pointp-Laplacian boundary value problems with one-sided Nagumo condition

机译：一面Nagumo条件的三点Laplacian边值问题解的存在性和多重性

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摘要

In this paper, the existence and multiplicity of solutions of three-pointp- Laplacian boundary value problems at resonance with onesided Nagumo condition are studied by using degree theory and upper and lower solutions method. Some known results are improved.

机译：本文利用度理论和上下解方法研究了单点Nagumo条件下三点拉普拉斯边值共振问题的存在性和多重性。一些已知的结果得到了改善。

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来源
《Journal of Applied Mathematics and Computing》 |2007年第2期|209-220|共12页
作者
Jianjun Zhang; Wenbin Liu; Jinbo Ni; Taiyong Chen;
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作者单位

College of Sciences China University of Mining and Technology Xuzhou 221008 Jiangsu P. R. China;

College of Sciences China University of Mining and Technology Xuzhou 221008 Jiangsu P. R. China;

College of Sciences China University of Mining and Technology Xuzhou 221008 Jiangsu P. R. China;

College of Sciences China University of Mining and Technology Xuzhou 221008 Jiangsu P. R. China;

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正文语种 eng
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关键词
34C25; p-Laplacian equations; three-point boundary value; one-sided Nagumo condition; resonance; upper and lower solutions;

机译：34C25;p-Laplacian方程;三点边值;单边Nagumo条件;共振;上下解;

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The existence and multiplicity of solutions of three-pointp-Laplacian boundary value problems with one-sided Nagumo condition

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