Special Session 120: Linear and Nonlinear fourth order PDE's
Contents
We analyze the asymptotic behavior of solutions of some
fourth order nonlinear problems in $R^N$. Due to the lack of maximum
principles we use natural energy estimates for the analysis. Also the
lack of compact Sobolev embeddings makes the asymptotic compactness of
solutions a subtle problem.
We will also discuss the role of the critical growth of the nonlinear
term in the behavior of solutions.