### On the Grushin critical problem with a cylindrical symmetry

#### Abstract

By a Lyapunov-Schmidt reduction argument, for a type of Grushin critical problem with cylindrical symmetry, we prove that it has infinitely many positive solutions with cylindrical symmetry, whose energy can be made arbitrarily large.

#### Article information

Source
Adv. Differential Equations, Volume 20, Number 1/2 (2015), 77-116.

Dates
First available in Project Euclid: 11 December 2014

Mathematical Reviews number (MathSciNet)
MR3297780

Zentralblatt MATH identifier
1311.35169

#### Citation

Wang, Chunhua; Wang, Qingfang; Yang, Jing. On the Grushin critical problem with a cylindrical symmetry. Adv. Differential Equations 20 (2015), no. 1/2, 77--116. https://projecteuclid.org/euclid.ade/1418310443