Symmetric solutions for a class of singular biharmonic elliptic systems involving critical exponents

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摘要

This paper deals with a class of singular biharmonic elliptic systems involving critical exponents in a bounded symmetric domain. By using the variational method and the symmetric criticality principle of Palais, we obtain several existence and multiplicity results of G-symmetric solutions for the systems.

论文关键词：G-symmetric solution,Critical exponent,Symmetric criticality principle,Biharmonic elliptic systems

论文评审过程：Received 13 July 2014, Accepted 26 April 2015, Available online 19 May 2015, Version of Record 19 May 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.04.099