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On a Critical Fourth Order PDE with Navier Boundary Condition
Journal article   Peer reviewed

On a Critical Fourth Order PDE with Navier Boundary Condition

Khadijah Sharaf
Acta mathematica Sinica. English series, Vol.35(12), pp.1906-1916
01/12/2019
DOI: https://doi.org/10.1007/s10114-019-8523-1

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We consider a fourth order nonlinear PDE involving the critical Sobolev exponent on a bounded domain of R-n, 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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