### The topological impact of critical points at infinity in a variational problem with lack of compactness: the dimension $3$

Oliver Rey

#### Abstract

We extend to dimension $3$ a result previously known in higher dimensions, concerning the topological effect of critical points at infinity on the level sets of a functional associated to an elliptic problem with critical nonlinearity.

#### Article information

Source
Adv. Differential Equations, Volume 4, Number 4 (1999), 581-616.

Dates
First available in Project Euclid: 19 September 2014

Rey, Oliver. The topological impact of critical points at infinity in a variational problem with lack of compactness: the dimension $3$. Adv. Differential Equations 4 (1999), no. 4, 581--616. https://projecteuclid.org/euclid.ade/1411134018