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Existence of nontrival Solutions for a biharmonic elliptic equation involving double critical exponentsJ. Journal of South China Normal University (Natural Science Edition), 2018, 50(2): 100-104.
Citation: Existence of nontrival Solutions for a biharmonic elliptic equation involving double critical exponentsJ. Journal of South China Normal University (Natural Science Edition), 2018, 50(2): 100-104.
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Existence of nontrival Solutions for a biharmonic elliptic equation involving double critical exponents

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  • A class of biharmonic elliptic equations with double critical exponent is studied. By using the variational method and the function of the embedded mapping of , the sequence un satisfying the local Palais-Smale (PSc) condition is found. The sequence converges to the nontrivial weak solution of the equation by accurate calculation.
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