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L. Modica, “Monotonic-ity of the Energy for Entire Solutions of Semilinear Elliptic Equations,” In: F. Colombini, A. Marino and L. Modica, Eds., Partial Differential Equations and the Calculus of Variations, Birkhauser, Boston, Vol. 2, 1989, pp. 843-850.

has been cited by the following article:

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

  AUTHORS: Li Ma

  KEYWORDS: Liouville Theorems, Ancient Solution, Ginzburg-Landau Equation, Lichenrowicz Equation

  JOURNAL NAME: Advances in Pure Mathematics, Vol.1 No.3, June 3, 2011

  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