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Global asymptotic behavior of large solutions for a class of semilinear elliptic problems

  • Mathematics
  • Published:
Wuhan University Journal of Natural Sciences

Abstract

By using Karamata regular variation theory and upper and lower solution method, we investigate the existence and the global asymptotic behavior of large solutions to a class of semilinear elliptic equations with nonlinear convection terms. In our study, the weight and nonlinearity are controlled by some regularly varying functions or rapid functions, which is very different from the conditions of previous contexts. Our results largely extend the previous works, and prove that the nonlinear convection terms do not affect the global asymptotic behavior of classical solutions when the index of the convection terms change in a certain range.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Weifang University, Weifang 261061, Shandong, China

    Haitao Wan

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  1. Haitao Wan
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Correspondence to Haitao Wan.

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Foundation item: Supported by Startup Foundation for Docotors of Weifang University(2016BS04)

Biography: WAN Haitao, male, Lecturer, Ph. D., research direction: applied mathematics.

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Wan, H. Global asymptotic behavior of large solutions for a class of semilinear elliptic problems. Wuhan Univ. J. Nat. Sci. 22, 29–37 (2017). https://doi.org/10.1007/s11859-017-1213-x

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  • DOI: https://doi.org/10.1007/s11859-017-1213-x

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