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Asymptotically or super linear cooperative elliptic systems in the whole space

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Abstract

Under the assumption that F is asymptotically or super linear as |U| → ∞ with U = (u, v) ∈ ℝ2, we obtain the existence of ground state solutions of a class of cooperative elliptic systems in ℝN by using a variant generalized weak linking theorem for strongly indefinite problem developed by Schechter and Zou. To the best of our knowledge, there is no result published concerning the systems in the whole space ℝN.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Anyang Normal University, Anyang, 455000, China

    GuanWei Chen

  2. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, China

    ShiWang Ma

Authors
  1. GuanWei Chen
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  2. ShiWang Ma
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Correspondence to GuanWei Chen.

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Chen, G., Ma, S. Asymptotically or super linear cooperative elliptic systems in the whole space. Sci. China Math. 56, 1181–1194 (2013). https://doi.org/10.1007/s11425-013-4567-3

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  • DOI: https://doi.org/10.1007/s11425-013-4567-3

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