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Non-existence of positive entire solutions for elliptic inequalities of P-laplacian

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Abstract

In this paper, the nonexistence of positive entire solutions for div (∣Du ❘2Du)> q(x)f(u),x ε RN, is established, wherP003E 1,Du = (D,u,…, D N u),q:R N → (0,∞) and f:(0, ∞) → (0,∞) are continuous functions.

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Authors and Affiliations

  1. Department of Mathematics, Henan Normal University, 453002., Xinxiang

    Yang Zuodong

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  1. Yang Zuodong
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Supported by the Youth Foundation of State Education Commission and the Foundation of Henan Education Commission.

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Zuodong, Y. Non-existence of positive entire solutions for elliptic inequalities of P-laplacian. Appl. Math. Chin. Univ. 12, 399–410 (1997). https://doi.org/10.1007/s11766-997-0042-7

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  • DOI: https://doi.org/10.1007/s11766-997-0042-7

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