On the classification of N-point concentrating solutions for by Bartolucci D. PDF

By Bartolucci D.

Show description

Read or Download On the classification of N-point concentrating solutions for mean field equations and the critical set of the N-vortex singular Hamiltonian on the unit disk PDF

Similar mathematics books

New PDF release: The Math Book: From Pythagoras to the 57th Dimension, 250

Math’s countless mysteries and wonder spread during this follow-up to the best-selling The technological know-how e-book. starting thousands of years in the past with old “ant odometers” and relocating via time to our modern day quest for brand spanking new dimensions, it covers 250 milestones in mathematical background. one of the a variety of delights readers will know about as they dip into this inviting anthology: cicada-generated top numbers, magic squares from centuries in the past, the invention of pi and calculus, and the butterfly impact.

Download e-book for kindle: Simplicial Global Optimization by Remigijus Paulavičius, Julius Žilinskas

Simplicial international Optimization is headquartered on deterministic protecting tools partitioning possible quarter through simplices. This e-book appears to be like into some great benefits of simplicial partitioning in worldwide optimization via functions the place the hunt area might be considerably decreased whereas considering symmetries of the target functionality by means of environment linear inequality constraints which are controlled by means of preliminary partitioning.

Additional info for On the classification of N-point concentrating solutions for mean field equations and the critical set of the N-vortex singular Hamiltonian on the unit disk

Example text

Poincar´e Anal. Non Lin´eaire 22 227 [19] Esposito P, Pistoia A and Wei J 2006 Concentrating solutions for the H´enon equation in R2 , Preprint [20] Eyink G L and Spohn H 1993 Negative temperature states and large-scale, long-lived vortices in two dimensional turbulence, J. Stat. Phys. 70 833 [21] Henrici P 1974 Applied and Computational Complex Analysis, Vol I, John Wiley & Sons, New-York p. 700 [22] Kiessling MHK 1993 Statistical mechanics of classical particles with logaritmic interaction Comm.

In this case PN (r; ρ, α) has one and only one root in (0, 1) but for ρ small enough may admit at least another zero r0 > 1. 9 Acknowledgments We would like to thank very much E. Caglioti for illuminating discussions concerning the N -vortex problem. In particular we are indebted with him for some crucial observations concerning the case α = 0. Those remarks has been very useful in the drawing up of the final version of this paper. N-Vortex concentrating solutions for the singular mean field equation 35 [1] Bartolucci D, Caglioti E & Montefusco E, in preparation.

H. Poincar´e Anal. Non Lin´eaire 18 271 [13] Chen CC and Lin CS 2002 Sharp Estimates for Solutions of Multi-bubbles in Compact Riemann Surfaces Comm. Pure Appl. Math. 55 728 [14] Chen CC and Lin CS 2003 Topological Degree for a Mean Field Equation on Riemann Surfaces Comm. Pure Appl. Math. 56 1667 [15] del Pino M, Kowalczyk M and Musso M 2005, Singular limits in Liouville-type equations, Calc. Var. Poincar`e Anal. , 16 653 [17] Djadli Z and Malchiodi A 2006 Existence result for the mean field problem on Riemann surfaces of all genus, Preprint [18] Esposito P, Grossi M and Pistoia A 2004 On the existence of blowing-up solutions for a mean field equation Ann.

Download PDF sample

On the classification of N-point concentrating solutions for mean field equations and the critical set of the N-vortex singular Hamiltonian on the unit disk by Bartolucci D.


by Mark
4.0

Rated 4.89 of 5 – based on 27 votes