Liouville Type Theorems for Lichnerowicz Equations and Ginzburg-Landau Equation: Survey

DOI: 10.4236/apm.2011.13022   PDF   HTML     6,652 Downloads   12,581 Views   Citations


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

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L. Ma, "Liouville Type Theorems for Lichnerowicz Equations and Ginzburg-Landau Equation: Survey," Advances in Pure Mathematics, Vol. 1 No. 3, 2011, pp. 99-104. doi: 10.4236/apm.2011.13022.

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The authors declare no conflicts of interest.


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