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Quasilinear Elliptic Systems Involving Critical Hardy–Sobolev and Sobolev Exponents

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Abstract

In this paper, a system of quasilinear elliptic equations is investigated, which involves critical exponents and multiple Hardy-type terms. By variational methods and analytic techniques, the existence of positive solutions to the system is established. The conclusions are new even when the Hardy-type terms disappear.

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Acknowledgments

This work is supported by the Fundamental Research Funds for the Central Universities, South-Central University for Nationalities (CZW15053).

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Authors and Affiliations

  1. School of Mathematics and Statistics, South–Central University For Nationalities, Wuhan, 430074, People’s Republic of China

    Dongsheng Kang

  2. School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, 430074, People’s Republic of China

    Yangguang Kang

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  1. Dongsheng Kang
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  2. Yangguang Kang
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Correspondence to Dongsheng Kang.

Additional information

Communicated by Norhashidah M. Ali.

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Kang, D., Kang, Y. Quasilinear Elliptic Systems Involving Critical Hardy–Sobolev and Sobolev Exponents. Bull. Malays. Math. Sci. Soc. 40, 1–17 (2017). https://doi.org/10.1007/s40840-015-0253-7

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  • DOI: https://doi.org/10.1007/s40840-015-0253-7

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