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Existence and uniqueness of positive solutions for a class of semilinear elliptic systems

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Abstract

The authors prove the uniqueness and existence of positive solutions for the semilinear elliptic system which involves nonlinearities with sublinear growth conditions.

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Authors and Affiliations

  1. Y. Y. Tseng Functional Analysis Research Center and School of Mathematical Sciences, Harbin Normal University, Harbin, 150025, P. R. China

    Ren Hao Cui, Jun Ping Shi & Yu Wen Wang

  2. Department of Mathematics, College of William and Mary, Williamsburg, Virginia, 23187-8795, USA

    Jun Ping Shi

Authors
  1. Ren Hao Cui
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  2. Jun Ping Shi
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  3. Yu Wen Wang
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Corresponding author

Correspondence to Ren Hao Cui.

Additional information

Partially supported by National Natural Science Foundation of China (Grant No. 11071051), Tianyuan Foundation for Mathematics of National Natural Science Foundation of China (Grant No. 10926060), Youth Science Foundation of Heilongjiang Province (Grant No. QC2009C73)

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Cui, R.H., Shi, J.P. & Wang, Y.W. Existence and uniqueness of positive solutions for a class of semilinear elliptic systems. Acta. Math. Sin.-English Ser. 27, 1079–1090 (2011). https://doi.org/10.1007/s10114-011-9299-0

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  • DOI: https://doi.org/10.1007/s10114-011-9299-0

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