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Nonexistence of Solutions for Nonlinear Differential Inequalities with Singularities on Unbounded Sets

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Abstract

We study some new Liouville theorems for nonlinear differential inequalities with gradient terms and singular variable coefficients that have singularities on unbounded sets. The proofs are based on the test function method developed by Mitidieri and Pohozaev.

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Funding

This work was supported by the National Natural Science Foundation of China (grants 11771008 and 11971273) and by the Shandong Province Natural Science Foundation of China (grants ZR201709220025 and ZR2017MA005).

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Correspondence to Xiaohong Li, Haitao Wan or Xiliang Li.

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The article was submitted by the authors for the English version of the journal.

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Li, X., Wan, H. & Li, X. Nonexistence of Solutions for Nonlinear Differential Inequalities with Singularities on Unbounded Sets. Math Notes 107, 121–128 (2020). https://doi.org/10.1134/S0001434620010113

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  • DOI: https://doi.org/10.1134/S0001434620010113

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