On a general \(\mathrm{SU}(3)\) Toda system

DOI10.1007/S00526-015-0906-2zbMATH Open1339.35118arXiv1407.7217OpenAlexW2103344007MaRDI QIDQ5963575

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Publication date: 22 February 2016

Published in: (Search for Journal in Brave)

Abstract: We study the following generalized

S U (3)

Toda System

left{�egin{array}{ll} -Delta u=2e^u+mu e^v & hbox{ in }R^2\ -Delta v=2e^v+mu e^u & hbox{ in }R^2\ int_{R^2}e^u<+infty, int_{R^2}e^v<+infty end{array} ight.

where

m u > - 2

. We prove the existence of radial solutions bifurcating from the radial solution

(l o g f r a c 64 (2 + m u) (8 + | x |^{2})^{2}, l o g f r a c 64 (2 + m u) (8 + | x |^{2})^{2})

at the values

m u = m u_{n} = 2 f r a c 2 - n - n^{2} 2 + n + n^{2}, n i n N

.

Full work available at URL: https://arxiv.org/abs/1407.7217

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