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Existence of solutions for elliptic equations without superquadraticity condition

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Abstract

By weakening or dropping the superquadraticity condition (SQC), the existence of positive solutions for a class of elliptic equations is established. In particular, we deal with the asymptotical linearities as well as the superlinear nonlinearities.

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Authors and Affiliations

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, 430071, China

    Yimin Zhang

  2. Department of Mathematics, South China University of Technology, Guangzhou, 510641, China

    Yaotian Shen

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  1. Yimin Zhang
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  2. Yaotian Shen
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Correspondence to Yimin Zhang.

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Zhang, Y., Shen, Y. Existence of solutions for elliptic equations without superquadraticity condition. Front. Math. China 7, 587–595 (2012). https://doi.org/10.1007/s11464-012-0211-8

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  • DOI: https://doi.org/10.1007/s11464-012-0211-8

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