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Liouville Type Theorems for Lichnerowicz Equations and Ginzburg-Landau Equation: Survey
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Advances in Pure Mathematics·Volume 01 (2011)·Pages 99–104·Published 19 May 2011·DOI10.4236/apm.2011.13022
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Abstract
In this survey paper, we firstly review some existence aspects of Lichnerowicz equation and Ginzburg-Landau equations. We then discuss the uniform bounds for both equations in Rn. In the last part of this report, we consider the Liouville type theorems for Lichnerowicz equation and Ginzburg-Landau equations in Rn via two approaches from the use of maximum principle and the monotonicity formula
KeywordsLiouville TheoremsAncient SolutionGinzburg-Landau EquationLichenrowicz Equation
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