|Table of Contents|

The symmetry of solutions for a class of Baouendi-Grushin equations(PDF)

《纺织高校基础科学学报》[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2019年03期
Page:
307-311
Research Field:
基础科学
Publishing date:

Info

Title:
The symmetry of solutions for a class of Baouendi-Grushin equations
Author(s):
 QIAN Hongli HUANG Xiaotao
College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
Keywords:
 Baouendi-Grushin equation existence symmetry constrained minimization method Schwarz rearrangement1 引言及主要结论
PACS:
O 175.5
DOI:
10.13338/j.issn.1006-8341.2019.03.013
Abstract:
To study the symmetry for solutions of a class of Baouendi-Grushin equations,first the symmetry is converted into a constrained minimization problem. Then,by Sobolev embedding theorem and some priori estimates, it is proved that the solutions after Schwarz rearrangement are also the solutions of its Lagrangian minimization functional.Thus the existence and symmetry results of the solutions of Baouendi-Grushin equations.

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Last Update: 2019-10-07