Min-max level estimate for a singular quasilinear polyharmonic equation in $\mathbb{R}^{2m}$
Analysis of PDEs
2012-08-13 v1
Abstract
Using the framework first presented by Ruf and Sani, we give a proof of an Adams type inequality which can be applied to a nonlinear functional. Under two kinds of assumptions on the nonlinearity, we estimate the min-max level of the functional. As an application, a multiplicity result for the related singular quasilinear elliptic equation is proved.
Keywords
Cite
@article{arxiv.1208.2155,
title = {Min-max level estimate for a singular quasilinear polyharmonic equation in $\mathbb{R}^{2m}$},
author = {Liang Zhao and Yuanyuan Chang},
journal= {arXiv preprint arXiv:1208.2155},
year = {2012}
}
Comments
24pages