Frontiers of Mathematics in China >

2008 , Vol. 3 >Issue 2: 205 - 220

DOI: https://doi.org/10.1007/s11464-008-0013-1

Variational approach to various nonlinear problems in geometry and physics

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  • Mathematics Group, The Abdus Salam ICTP；Academy of Mathematics and System Sciences, Chinese Academy of Sciences;

Published date: 05 Jun 2008

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Abstract

In this survey, we will summarize the existence results of nonlinear partial differential equations which arises from geometry or physics by using variational method. We use the method to study Kazdan-Warner problem, Chern-Simons-Higgs model, Toda systems, and the prescribed Q-curvature problem in 4-dimension.

Cite this article

LI Jiayu . Variational approach to various nonlinear problems in geometry and physics[J]. Frontiers of Mathematics in China, 2008 , 3(2) : 205 -220 . DOI: 10.1007/s11464-008-0013-1

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