On a Critical Fourth Order PDE with Navier Boundary Condition
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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.
KeywordsFourth order PDE critical nonlinearity variational problem critical points at infinity
MR(2010) Subject Classification35J60 35J65
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