The blow up analysis of solutions of the elliptic sinh-Gordon equation

Jürgen Jost; Guofang Wang; Dong Ye; Chunqin Zhou
February 2008
Calculus of Variations & Partial Differential Equations;Feb2008, Vol. 31 Issue 2, p263
Academic Journal
In this paper, using a geometric method we show that the blow-up values of the elliptic sinh-Gordon equation are multiples of 8 π.


Related Articles

  • Positive Solutions of Higher-Order Singular Problems. Agarwal, R. P.; Perera, K.; O'Regan, D. // Differential Equations;May2005, Vol. 41 Issue 5, p739 

    The article focuses on the positive solutions of higher-order singular problems. The aim is to prove the existence of a positive solution of problem with the use of variational approach.

  • Unfolding of singularities and differential equations. Konopelchenko, B. // Note di Matematica;2012, Vol. 32 Issue 1, p125 

    Interrelation between Thom's catastrophes and differential equations revisited. It is shown that versal deformations of critical points for singularities of A,D,E type are described by the systems of Hamilton-Jacobi type equations. For particular nonversal unfoldings the corresponding equations...

  • Erratum to: An optimal gap theorem. Ni, Lei // Inventiones Mathematicae;May2014, Vol. 196 Issue 2, p511 

    A correction to the article "An optimal gap theorem" that was published in a 2012 issue is presented.

  • Stratifiable Families of Extremals and Sufficient Conditions for Optimality in Optimal Control Problems. Ledzewicz, U.; Nowakowski, A.; Schättler, H. // Journal of Optimization Theory & Applications;Aug2004, Vol. 122 Issue 2, p345 

    It is shown that, if a parametrized fämily of extremals can be stratified in a way compatible with the flow map generated by F, then those trajectories of the family which realize the minimal values of the cost in F are indeed optimal in comparison with all trajectories which lie in the...

  • summation symbol.  // Hutchinson Dictionary of Scientific Biography;2005, p1 

    Sign (Σ) representing the sum taken over all instances that accompany the sign, indicated above and below it. Thus:

  • Blow-up, blow-up rate and decay of the solution of the weakly dissipative Camassa-Holm equation. Shuyin Wu; Zhaoyang Yin // Journal of Mathematical Physics;Jan2006, Vol. 47 Issue 1, pN.PAG 

    In this paper, we mainly study several problems on the weakly dissipative periodic Camassa-Holm equation. At first, the local well-posedness of the equation is obtained by Kato’s theorem, a necessary and sufficient condition of the blow-up of the solution and some criteria guaranteeing...

  • Magic Hexagons. Rose, Mike // Mathematics in School;Nov2004, Vol. 33 Issue 5, p27 

    Discusses the use of magic hexagons in exploring simple patterns and applying the basic General Certificate of Secondary Education algebra to demonstrate simple proofs of patterns. Number of cells in a basic magic hexagon; Pattern of an algebraic basic magic hexagon; Algebraic values listed in...

  • A Variation of an Extremal Theorem Due to Woodall*. Li Jiong-Sheng; Yin Jian-Hua // Southeast Asian Bulletin of Mathematics;2001, Vol. 25 Issue 3, p427 

    Focuses on a variation of an extremal theorem. Details of the non-increasing sequence of nonnegative integers; Theorems in terms of graphic sequences in the mathematical setting; Information on graph cycles following lemma.

  • Sheaves on Fibered Threefolds and Quiver Sheaves. Szendrői, Balázs // Communications in Mathematical Physics;Mar2008, Vol. 278 Issue 3, p627 

    This paper classifies a class of holomorphic D-branes, closely related to framed torsion-free sheaves, on threefolds fibered in resolved ADE surfaces over a general curve C, in terms of representations with relations of a twisted Kronheimer–Nakajima-type quiver in the category Coh( C) of...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics