A new perturbation to a critical elliptic problem with variable exponent

Title:
A new perturbation to a critical elliptic problem with variable exponent
Speaker:
刘忠原 副教授,河南大学
Inviter: 韩丕功 研究员
Time & Venue:

2022.8.4 8:30 腾讯会议号:412-247-341

Abstract:

In this talk we consider the critical elliptic problem with variable exponent. We use the reduction argument to construct a family of bubble solutions concentrating at the negative stable critical point of the variable exponent function. This is a new perturbation to the critical elliptic equation in contrast with the usual subcritical or supercritical perturbation, and gives the first existence result for the critical elliptic problem with variable exponent.

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