EXISTENCE OF WEAK SOLUTIONS TO A p-LAPLACIAN PROBLEM INVOLVING DIRICHLET BOUNDARY CONDITION

EXISTENCE OF WEAK SOLUTIONS TO A p-LAPLACIAN PROBLEM INVOLVING DIRICHLET BOUNDARY CONDITION

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摘要 In this paper, by virtue of Leray-Lions theorem, we are mainly concerned with the existence of weak solutions to a Dirichlet boundary value problem with the p-Laplacian operator. In this paper, by virtue of Leray-Lions theorem, we are mainly concerned with the existence of weak solutions to a Dirichlet boundary value problem with the p-Laplacian operator.

作者 Keyu Zhang Jianguo Wang

机构地区 Dept. of Math.

出处《Annals of Differential Equations》 2013年第4期484-489,共6页 微分方程年刊（英文版）

基金 supported by the NNSF of China(10971046) Shandong Provincial Natural Science Foundation(ZR2012AQ007) The Project of Shandong Province High Education Science and Tech-nology Program(J09LA55)

关键词 Dirichlet boundary value problem P-LAPLACIAN Leray-Lions theorem weak solution Dirichlet boundary value problem p-Laplacian Leray-Lions theorem weak solution

分类号 O175.8 [理学—基础数学]

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参考文献10

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Annals of Differential Equations

2013年第4期

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EXISTENCE OF WEAK SOLUTIONS TO A p-LAPLACIAN PROBLEM INVOLVING DIRICHLET BOUNDARY CONDITION

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