Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495437 | Journal of Functional Analysis | 2005 | 38 Pages |
Abstract
A new version of perturbation theory is developed which produces infinitely many sign-changing critical points for uneven functionals. The abstract result is applied to the following elliptic equations with a Hardy potential and a perturbation from symmetry:-Îu-μu|x|2=f(x,u)+p(x,u) in Ω,u=0 on âΩand-Îu=|u|q-2|x|su+p(x,u) in Ω,u=0 on âΩ,where 0
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
M. Schechter, W. Zou,