Advances in Pure Mathematics

Volume 1, Issue 3 (May 2011)

ISSN Print: 2160-0368   ISSN Online: 2160-0384

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

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DOI: 10.4236/apm.2011.13022    7,265 Downloads   13,747 Views  Citations
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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

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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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