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含有广义p-Laplacian边值问题与m增生映射

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含有广义p-Laplacian边值问题与m增生映射 魏利1, 樊树鑫1, Ravi P. Agarwal21. 河北经贸大学数学与统计学学院, 石家庄 050061;
2. Department of Mathematics, Texas A & M University-Kingsville, Kingsville TX 78363, USA Nonlinear Elliptic Boundary Value Problems with Generalized p-Laplacain and Range of m-Accretive Mappings WEI Li1, FAN Shuxin1, Ravi P. Agarwal21. School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China;
2. Department of Mathematics, Texas A & M University-Kingsville, Kingsville TX 78363, USA
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摘要证明了m增生映射的一个值域扰动结论并用于讨论一类含有广义p-Laplacian算子的非线性椭圆边值问题在L2(Ω)中解的存在性.探究了非线性椭圆边值问题的解与m增生映射零点的关系.构造了迭代序列用以弱收敛或强收敛到非线性椭圆边值问题的解.本文采用了构造新算子和拆分方程的技巧,推广和补充了以往的相关研究成果.
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收稿日期: 2012-08-22
PACS:O177.91
基金资助:国家自然科学基金(No.11071053),河北省自然科学基金(No.A2014207010),河北省教育厅科研重点项目(No.ZD2016024)以及河北经贸大学科研重点项目(No.2016KYZ07)资助.

引用本文:
魏利, 樊树鑫, Ravi P. Agarwal. 含有广义p-Laplacian边值问题与m增生映射[J]. 应用数学学报, 2018, 41(3): 356-368. WEI Li, FAN Shuxin, Ravi P. Agarwal. Nonlinear Elliptic Boundary Value Problems with Generalized p-Laplacain and Range of m-Accretive Mappings. Acta Mathematicae Applicatae Sinica, 2018, 41(3): 356-368.
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