Advances in Differential Equations

On the Grushin critical problem with a cylindrical symmetry

Chunhua Wang, Qingfang Wang, and Jing Yang

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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

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

First available in Project Euclid: 11 December 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35B40: Asymptotic behavior of solutions 35B45: A priori estimates 35J40: Boundary value problems for higher-order elliptic equations


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.

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