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Title of Journal: Acta Appl Math

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Abbravation: Acta Applicandae Mathematicae

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Springer Netherlands

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DOI

10.1016/0048-4059(83)90038-3

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1572-9036

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On the Classification of Emphasis Type="Italic"N

Authors: Daniele Bartolucci
Publish Date: 2008/11/20
Volume: 110, Issue: 1, Pages: 1-22
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Abstract

Motivated by the analysis of the multiple bubbling phenomenon Bartolucci et al in Commun Partial Differ Equ 297–81241–1265 2004 for a singular mean field equation on the unit disk Bartolucci and Montefusco in Nonlinearity 19611–631 2006 for any N≥3 we characterize a subset of the 2π/Nsymmetric part of the critical set of the Nvortex singular Hamiltonian In particular we prove that this critical subset is of saddle type As a consequence of our result and motivated by a recently posed open problem Bartolucci et al in Commun Partial Differ Equ 297–81241–1265 2004 we can prove the existence of a multiple bubbling sequence of solutions for the singular mean field equation

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  1. Virasoro Action on Pseudo-Differential Symbols and (Noncommutative) Supersymmetric Peakon Type Integrable Systems
  2. Positive Solutions for Singular BVPs with Sign Changing and Derivative Depending Nonlinearity on the Positive Half-Line
  3. Analysis of a Polynomial System Arising in the Design of an Optical Lattice Filter Useful in Channelization
  4. On L 1 Bounds for Asymptotic Normality of Some Weakly Dependent Random Variables
  5. Weighted Logarithmic Sobolev Inequalities for Sub-Gaussian Measures
  6. Noncommutative Dynamical Models with Quantum Symmetries
  7. A BGK Model for Gas Mixtures
  8. Marshall and Olkin’s Distributions
  9. An Initial-Boundary Value Problem for the Korteweg–de Vries Equation with Dominant Surface Tension
  10. Variational Approach to the Inviscid Compressible Fluid
  11. The Numerical Asymptotically Stability of a Linear Differential Equation with Piecewise Constant Arguments of Mixed Type
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  13. Application of He’s Variational Iteration Method for Solving Nonlinear BBMB Equations and Free Vibration of Systems
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  15. Zero Dynamics and Stabilization for Analytic Linear Systems
  16. Multiplicative Property of the Digital Fundamental Group
  17. Finite Velocity of the Propagation of Perturbations for a Class of Non-Newtonian Fluids
  18. Existence Results for Semilinear Neutral Functional Differential Inclusions via Analytic Semigroups
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