On the p-biharmonic operator with critical Sobolev exponent
Abdelouahed El Khalil, My Driss Morchid Alaoui, Abdelfattah Touzani (2014)
Applicationes Mathematicae
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We study the existence of solutions for a p-biharmonic problem with a critical Sobolev exponent and Navier boundary conditions, using variational arguments. We establish the existence of a precise interval of parameters for which our problem admits a nontrivial solution.