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Multiple positive solutions for degenerate elliptic equations with singularity and critical cone Sobolev exponents

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Abstract

In this paper, we study the existence of multiple positive solutions for degenerate elliptic systems with singular and critical cone Sobolev exponents on singular manifolds. With the help of the variational method, we obtain a multiplicity result.

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Authors and Affiliations

  1. School of Mathematics, China University of Mining and Technology, Xuzhou, 221116, China

    Haining Fan

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  1. Haining Fan
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Correspondence to Haining Fan.

Additional information

This work is supported by the Fundamental Research Funds for the Central Universities (Grant No. 2018QNA35).

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Fan, H. Multiple positive solutions for degenerate elliptic equations with singularity and critical cone Sobolev exponents. J. Pseudo-Differ. Oper. Appl. 10, 689–709 (2019). https://doi.org/10.1007/s11868-018-0241-4

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  • DOI: https://doi.org/10.1007/s11868-018-0241-4

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