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