Article citationsMore>>

P. Polacik, P. Souplet and P. Quittner, “Singularity and Decay Estimates in Superlinear Problems via Liouville-Type Theorems, Part 1: Elliptic Equa-tions and Systems,” Duke Mathematical Journal, Vol. 139, No. 3, 2007, pp. 555-579. doi:10.1215/S0012-7094-07-13935-8

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