Existence and concentration of solutions for a class of biharmonic equations
Analysis of PDEs
2013-04-17 v2
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.
Keywords
Cite
@article{arxiv.1011.3829,
title = {Existence and concentration of solutions for a class of biharmonic equations},
author = {Marcos T. O. Pimenta and Sérgio H. M. Soares},
journal= {arXiv preprint arXiv:1011.3829},
year = {2013}
}
Comments
18 pages