Existence and nonexistence of global positive solutions for a weakly coupled P-Laplacian system |
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| Authors: | Xian-zhong Zeng Zhen-hai Liu Yong-geng Gu |
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| Institution: | [1]School of Mathematics and Computing Science, Hunan University of Science and Technology, Xiangtan 411201, China [2]College of Science, Guangxi University for Nationalities, Nanning 530006, China [3]Department of Mathematics, Hunan Normal University, Changsha 410081, China |
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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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| Keywords: | the evolution P-Laplacian system inhomogeneous terms blow-up global existence |
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