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Existence and nonexistence of global positive solutions for a weakly coupled P-Laplacian system

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Abstract

In this paper, we deal with a weakly coupled evolution P-Laplacian system with inhomogeneous terms. We obtain a critical criterion concerning existence and nonexistence of its global positive solutions. Such a criterion is different from that of the weakly coupled evolution P-Laplacian system with homogeneous terms. Further, we demonstrate existence and nonexistence of its global positive solutions.

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Authors and Affiliations

  1. School of Mathematics and Computing Science, Hunan University of Science and Technology, Xiangtan, 411201, China

    Xian-zhong Zeng

  2. College of Science, Guangxi University for Nationalities, Nanning, 530006, China

    Zhen-hai Liu

  3. Department of Mathematics, Hunan Normal University, Changsha, 410081, China

    Yong-geng Gu

Authors
  1. Xian-zhong Zeng
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  2. Zhen-hai Liu
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  3. Yong-geng Gu
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Corresponding author

Correspondence to Xian-zhong Zeng.

Additional information

Supported by the National Natural Science Foundation of China (Nos. 10971061, 11271120) and the Project of Hunan Natural Science Foundation of China (Nos. 09JJ60013,13JJ3085).

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Zeng, Xz., Liu, Zh. & Gu, Yg. Existence and nonexistence of global positive solutions for a weakly coupled P-Laplacian system. Acta Math. Appl. Sin. Engl. Ser. 29, 541–554 (2013). https://doi.org/10.1007/s10255-013-0232-4

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  • DOI: https://doi.org/10.1007/s10255-013-0232-4

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