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Research on the existence of solution of equation involving p-laplacian operator

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Abstract

By using the perturbation theories on sums of ranges for nonlinear accretive mappings of Calvert and Gupta (1978), the abstract result on the existence of a solution u∈L p(Ω) to nonlinear equations involving p-Laplacian operator Δ p , where 2N/N+1<p<+∞ and N(≥1) denotes the dimension of R N, is studied. The equation discussed and the methods shown in the paper are continuation and complement to the corresponding results of Li and Zhen's previous papers. To obtain the result, some new techniques are used.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Hebei University of Economics and Business, 050061, Shijiazhuang, China

    Wei Li

  2. Institute of Applied Mathematics and Mechanics, Ordnance Engineering College, 050003, Shijiazhuang, China

    Wei Li & Zhou Haiyun

Authors
  1. Wei Li
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  2. Zhou Haiyun
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Supported by the National Natural Science Foundation of China (10471033).

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Li, W., Haiyun, Z. Research on the existence of solution of equation involving p-laplacian operator. Appl. Math.- J. Chin. Univ. 21, 191–202 (2006). https://doi.org/10.1007/BF02791356

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  • DOI: https://doi.org/10.1007/BF02791356

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