Singular limits for the bi-laplacian operator with exponential nonlinearity in $\R^4$
Analysis of PDEs
2015-05-13 v1
Abstract
Let be a bounded smooth domain in such that for some integer its -th singular cohomology group with coefficients in some field is not zero, then problem {\Delta^{2}u-\rho^{4}k(x)e^{u}=0 & \hbox{in}\Omega, u=\Delta u=0 & \hbox{on}\partial\Omega, has a solution blowing-up, as , at points of , for any given number .
Cite
@article{arxiv.0709.2878,
title = {Singular limits for the bi-laplacian operator with exponential nonlinearity in $\R^4$},
author = {Mónica Clapp and Claudio Muñoz and Monica Musso},
journal= {arXiv preprint arXiv:0709.2878},
year = {2015}
}
Comments
30 pages, to appear in Ann. IHP Non Linear Analysis