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On a Critical Fourth Order PDE with Navier Boundary Condition

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Abstract

We consider a fourth order nonlinear PDE involving the critical Sobolev exponent on a bounded domain of ℝn, n ≥ 5 with Navier condition on the boundary. We study the lack of compactness of the problem and we provide an existence theorem through a new index formula.

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Authors and Affiliations

  1. Department of Mathematics, King Abdulaziz University, P. O. 80230, Jeddah, Kingdom of Saudi Arabia

    Khadijah Sharaf

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  1. Khadijah Sharaf
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Correspondence to Khadijah Sharaf.

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Sharaf, K. On a Critical Fourth Order PDE with Navier Boundary Condition. Acta. Math. Sin.-English Ser. 35, 1906–1916 (2019). https://doi.org/10.1007/s10114-019-8523-1

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  • DOI: https://doi.org/10.1007/s10114-019-8523-1

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