应用数学学报  2014, Vol. 37 Issue (1): 1-12    DOI:
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1. 河北经贸大学数学与统计学学院, 石家庄 050061;
2. Department of Mathematics, Texas Agricultural and Mechanical University-Kingsville, Texas, U.S.A.TX 78363-8202
Existence of Solution to Parabolic Boundary Value Problem with Generalized p-Laplacian Operator
WEI Li1, Ravi P. Agarwal2
1. School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061;
2. Department of Mathematics, Texas Agricultural and Mechanical University-Kingsville, Texas, U.S.A. TX 78363-8202
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Abstract： Abstract By using a perturbation result on the ranges of maximal monotone operators, and by using a method of constructing an auxiliary nonlinear equation, a nonlinear parabolic equation involving the generalized p-Laplacian operator with mixed boundary conditions is studied in this paper. An abstract result of the existence of solution for this nonlinear bound-ary value problem is obtained. The method used in this paper extends and complements some of the previous work.

 引用本文: 魏利,Ravi P. Agarwal. 含有广义p-Laplace算子的抛物边值[J]. 应用数学学报, 2014, 37(1): 1-12. WEI Li,Ravi P. Agarwal. Existence of Solution to Parabolic Boundary Value Problem with Generalized p-Laplacian Operator[J]. Acta Mathematicae Applicatae Sinica, 2014, 37(1): 1-12.

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