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带有p-Laplacian算子的二阶微分方程组多个正解的存在性 被引量:2

Existence of multiple positive solutions of second-order differential systems with p-Laplacian
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摘要 利用五个泛函的不动点定理,研究带有p-Laplacian算子的二阶微分方程组分别在3种边界条件下至少3个正解的存在性,并给出例子验证所得结论。 Using five functions fixed point theorem,we prove the existence of at least three positive solutions to second-order systems with p-Laplacian under three kinds of boundary conditions,respectively.We give an example to illustrate our result.
出处 《河北科技大学学报》 CAS 北大核心 2011年第1期15-19,42,共6页 Journal of Hebei University of Science and Technology
基金 国家自然科学基金资助项目(10875094) 河北省自然科学基金资助项目(A2009000664)
关键词 P-LAPLACIAN算子 五个泛函的不动点定理 正解 p-Laplacian operator five functions fixed point theorem cone positive solution
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