On the $p$-biharmonic operator with critical Sobolev exponent
Volume 41 / 2014
Applicationes Mathematicae 41 (2014), 229-237
MSC: Primary 35G30; Secondary 35J50.
DOI: 10.4064/am41-2-10
Abstract
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.
