Existence and concentration of solutions for a class of biharmonic equations
arXiv:1011.3829 · doi:10.1016/j.jmaa.2012.01.039,
Abstract
Some superlinear fourth order elliptic equations are considered. Ground states are proved to exist and to concentrate at a point in the limit. The proof relies on variational methods, where the existence and concentration of nontrivial solutions are related to a suitable truncated equation.
arXiv comment18 pages