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Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials

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Abstract

In this paper, a system of elliptic equations is investigated, which involves Hardy potential and multiple critical Sobolev exponents. By a global compactness argument of variational method and a fine analysis on the Palais-Smale sequences created from related approximation problems, the existence of infinitely many solutions to the system is established.

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Authors and Affiliations

  1. School of Mathematics and Statistics, South-Central University For Nationalities, Wuhan, 430074, China

    DongSheng Kang

  2. School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China

    ShuangJie Peng

Authors
  1. DongSheng Kang
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  2. ShuangJie Peng
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Correspondence to DongSheng Kang.

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Kang, D., Peng, S. Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials. Sci. China Math. 55, 2027–2044 (2012). https://doi.org/10.1007/s11425-012-4482-z

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